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20022231223332 = 223213373773148381
BaseRepresentation
bin1001000110101110010011…
…11110101100110000100100
32121220002212201102122220200
410203113021332230300210
510111021012143121312
6110330030330230500
74134362361220032
oct443271176546044
977802781378820
1020022231223332
11641a420602188
1222b4538885430
13b2311c002a60
144d311c9cb552
1524ac5693a0dc
hex1235c9facc24

20022231223332 has 144 divisors (see below), whose sum is σ = 54722157457968. Its totient is φ = 6136180116480.

The previous prime is 20022231223283. The next prime is 20022231223381. The reversal of 20022231223332 is 23332213222002.

20022231223332 is a `hidden beast` number, since 200 + 2 + 2 + 2 + 3 + 122 + 3 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (20022231223283) and next prime (20022231223381).

It can be written as a sum of positive squares in 8 ways, for example, as 8031136573476 + 11991094649856 = 2833926^2 + 3462816^2 .

It is a super-2 number, since 2×200222312233322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20022231223296 and 20022231223305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134863782 + ... + 135012162.

It is an arithmetic number, because the mean of its divisors is an integer number (380014982347).

Almost surely, 220022231223332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022231223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361078728984).

20022231223332 is an abundant number, since it is smaller than the sum of its proper divisors (34699926234636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20022231223332 is a wasteful number, since it uses less digits than its factorization.

20022231223332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149550 (or 149545 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20022231223332 its reverse (23332213222002), we get a palindrome (43354444445334).

The spelling of 20022231223332 in words is "twenty trillion, twenty-two billion, two hundred thirty-one million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 373 468 746 773 1119 1492 1546 2238 2319 3092 3357 4476 4638 4849 6714 6957 9276 9698 10049 13428 13914 14547 19396 20098 27828 29094 30147 40196 43641 58188 60294 87282 90441 120588 148381 174564 180882 288329 296762 361764 445143 576658 593524 864987 890286 1153316 1335429 1729974 1780572 1928953 2594961 2670858 3459948 3748277 3857906 5189922 5341716 5786859 7496554 7715812 10379844 11244831 11573718 14993108 17360577 22489662 23147436 33734493 34721154 44979324 55346113 67468986 69442308 110692226 114698513 134937972 166038339 221384452 229397026 332076678 344095539 458794052 498115017 664153356 688191078 719499469 996230034 1032286617 1376382156 1438998938 1491080669 1992460068 2064573234 2158498407 2877997876 2982161338 4129146468 4316996814 4473242007 5964322676 6475495221 8633993628 8946484014 12950990442 13419726021 17892968028 25901980884 26839452042 42782545349 53678904084 85565090698 128347636047 171130181396 256695272094 385042908141 513390544188 556173089537 770085816282 1112346179074 1540171632564 1668519268611 2224692358148 3337038537222 5005557805833 6674077074444 10011115611666 20022231223332