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332232131232 = 25327116247659
BaseRepresentation
bin1001101010110101001…
…01000000001010100000
31011202112211100221112100
410311122211000022200
520420402411144412
6412343023330400
733001010343411
oct4653245001240
91152484327470
10332232131232
11118998416591
125447ba50a00
1325438795401
1412119bcd808
15899724eedc
hex4d5a9402a0

332232131232 has 72 divisors (see below), whose sum is σ = 958092014880. Its totient is φ = 109184261760.

The previous prime is 332232131207. The next prime is 332232131269. The reversal of 332232131232 is 232131232233.

332232131232 is a `hidden beast` number, since 3 + 3 + 22 + 321 + 312 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3322321312322 (a number of 24 digits) contains 22 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 = 332232131196 and 332232131205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8103382 + ... + 8144277.

It is an arithmetic number, because the mean of its divisors is an integer number (13306833540).

Almost surely, 2332232131232 is an apocalyptic number.

332232131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332232131232 is an abundant number, since it is smaller than the sum of its proper divisors (625859883648).

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

332232131232 is a wasteful number, since it uses less digits than its factorization.

332232131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16247746 (or 16247735 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 332232131232 its reverse (232131232233), we get a palindrome (564363363465).

The spelling of 332232131232 in words is "three hundred thirty-two billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 16247659 32495318 48742977 64990636 97485954 129981272 146228931 194971908 259962544 292457862 389943816 519925088 584915724 779887632 1153583789 1169831448 1559775264 2307167578 2339662896 3460751367 4614335156 4679325792 6921502734 9228670312 10382254101 13843005468 18457340624 20764508202 27686010936 36914681248 41529016404 55372021872 83058032808 110744043744 166116065616 332232131232