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1322303220 = 2232572149921
BaseRepresentation
bin100111011010000…
…1011111011110100
310102011010222000100
41032310023323310
510202002200340
6335113314100
744524251300
oct11664137364
93364128010
101322303220
11619450a87
1230aa05930
13180c46854
14c7888d00
157b148830
hex4ed0bef4

1322303220 has 108 divisors (see below), whose sum is σ = 4665872484. Its totient is φ = 302238720.

The previous prime is 1322303209. The next prime is 1322303237. The reversal of 1322303220 is 223032231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 597509136 + 724794084 = 24444^2 + 26922^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322303193 and 1322303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66141 + ... + 83780.

It is an arithmetic number, because the mean of its divisors is an integer number (43202523).

Almost surely, 21322303220 is an apocalyptic number.

1322303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322303220 is an abundant number, since it is smaller than the sum of its proper divisors (3343569264).

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

1322303220 is a wasteful number, since it uses less digits than its factorization.

1322303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149950 (or 149938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1322303220 is about 36363.4874565133. The cubic root of 1322303220 is about 1097.5989557293.

Adding to 1322303220 its reverse (223032231), we get a palindrome (1545335451).

The spelling of 1322303220 in words is "one billion, three hundred twenty-two million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 149921 299842 449763 599684 749605 899526 1049447 1349289 1499210 1799052 2098894 2248815 2698578 2998420 3148341 4197788 4497630 5247235 5397156 6296682 6746445 7346129 8995260 9445023 10494470 12593364 13492890 14692258 15741705 18890046 20988940 22038387 26985780 29384516 31483410 36730645 37780092 44076774 47225115 62966820 66115161 73461290 88153548 94450230 110191935 132230322 146922580 188900460 220383870 264460644 330575805 440767740 661151610 1322303220