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22132211232 = 2532231033829
BaseRepresentation
bin10100100111001011…
…101011111000100000
32010010102122211012010
4110213023223320200
5330311321224412
614100054032520
71412312456115
oct244713537040
963112584163
1022132211232
11942806896a
124358048740
1321193630a1
1410dd55890c
1589804733c
hex5272ebe20

22132211232 has 48 divisors (see below), whose sum is σ = 58357635840. Its totient is φ = 7344314112.

The previous prime is 22132211221. The next prime is 22132211239. The reversal of 22132211232 is 23211223122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22132211199 and 22132211208.

It is not an unprimeable number, because it can be changed into a prime (22132211239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495507 + ... + 538322.

It is an arithmetic number, because the mean of its divisors is an integer number (1215784080).

Almost surely, 222132211232 is an apocalyptic number.

It is an amenable number.

22132211232 is an abundant number, since it is smaller than the sum of its proper divisors (36225424608).

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

22132211232 is a wasteful number, since it uses less digits than its factorization.

22132211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034065 (or 1034057 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 22132211232 its reverse (23211223122), we get a palindrome (45343434354).

The spelling of 22132211232 in words is "twenty-two billion, one hundred thirty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 21408 1033829 2067658 3101487 4135316 6202974 8270632 12405948 16541264 24811896 33082528 49623792 99247584 230543867 461087734 691631601 922175468 1383263202 1844350936 2766526404 3688701872 5533052808 7377403744 11066105616 22132211232