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2232131232 = 253231010929
BaseRepresentation
bin1000010100001011…
…1001111010100000
312202120011000102010
42011002321322200
514032411144412
61005254152520
7106212542142
oct20502717240
95676130363
102232131232
11a45a86261
12523652740
132975a1716
14172642c92
15d0e6733c
hex850b9ea0

2232131232 has 48 divisors (see below), whose sum is σ = 6114104640. Its totient is φ = 711693312.

The previous prime is 2232131219. The next prime is 2232131243. The reversal of 2232131232 is 2321312322.

It is a happy number.

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

It is a super-3 number, since 3×22321312323 (a number of 29 digits) contains 333 as substring.

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 = 2232131199 and 2232131208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503257 + ... + 507672.

It is an arithmetic number, because the mean of its divisors is an integer number (127377180).

Almost surely, 22232131232 is an apocalyptic number.

It is an amenable number.

2232131232 is an abundant number, since it is smaller than the sum of its proper divisors (3881973408).

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

2232131232 is a wasteful number, since it uses less digits than its factorization.

2232131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010965 (or 1010957 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2232131232 is about 47245.4360970454. The cubic root of 2232131232 is about 1306.8926276354.

Adding to 2232131232 its reverse (2321312322), we get a palindrome (4553443554).

It can be divided in two parts, 2 and 232131232, that multiplied together give a palindrome (464262464).

The spelling of 2232131232 in words is "two billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 1010929 2021858 3032787 4043716 6065574 8087432 12131148 16174864 23251367 24262296 32349728 46502734 48524592 69754101 93005468 97049184 139508202 186010936 279016404 372021872 558032808 744043744 1116065616 2232131232