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202212010020 = 223537571159521
BaseRepresentation
bin1011110001010011000…
…1100110100000100100
3201022221111120102210110
42330110301212200210
511303112233310040
6232521145053020
720416000503546
oct2742461464044
9638844512713
10202212010020
1178837454059
1233234487170
13160b7697247
149b03ba7696
1553d7764980
hex2f14c66824

202212010020 has 96 divisors (see below), whose sum is σ = 582518192256. Its totient is φ = 52373606400.

The previous prime is 202212009997. The next prime is 202212010031. The reversal of 202212010020 is 20010212202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202212009978 and 202212010005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187860 + ... + 1347380.

It is an arithmetic number, because the mean of its divisors is an integer number (6067897836).

Almost surely, 2202212010020 is an apocalyptic number.

202212010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291259096128).

202212010020 is an abundant number, since it is smaller than the sum of its proper divisors (380306182236).

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

202212010020 is a wasteful number, since it uses less digits than its factorization.

202212010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160141 (or 160139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202212010020 its reverse (20010212202), we get a palindrome (222222222222).

The spelling of 202212010020 in words is "two hundred two billion, two hundred twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 571 740 1110 1142 1713 2220 2284 2855 3426 5710 6852 8565 11420 17130 21127 34260 42254 63381 84508 105635 126762 159521 211270 253524 316905 319042 422540 478563 633810 638084 797605 957126 1267620 1595210 1914252 2392815 3190420 4785630 5902277 9571260 11804554 17706831 23609108 29511385 35413662 59022770 70827324 88534155 91086491 118045540 177068310 182172982 273259473 354136620 364345964 455432455 546518946 910864910 1093037892 1366297365 1821729820 2732594730 3370200167 5465189460 6740400334 10110600501 13480800668 16851000835 20221201002 33702001670 40442402004 50553002505 67404003340 101106005010 202212010020