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238322223832 = 237113112480217
BaseRepresentation
bin1101110111110100011…
…1001000101011011000
3211210011002022100202211
43131331013020223120
512401040442130312
6301252252204504
723134563323050
oct3357507105330
9753132270684
10238322223832
1192087756170
123a231769734
1319620906874
14b76b910560
1562ec9e73a7
hex377d1c8ad8

238322223832 has 64 divisors (see below), whose sum is σ = 575088445440. Its totient is φ = 89857555200.

The previous prime is 238322223817. The next prime is 238322223859.

It is a happy number.

238322223832 is nontrivially palindromic in base 10.

238322223832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6221013 + ... + 6259204.

It is an arithmetic number, because the mean of its divisors is an integer number (8985756960).

Almost surely, 2238322223832 is an apocalyptic number.

238322223832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238322223832 is an abundant number, since it is smaller than the sum of its proper divisors (336766221608).

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

238322223832 is a wasteful number, since it uses less digits than its factorization.

238322223832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12480272 (or 12480268 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 238322223832 in words is "two hundred thirty-eight billion, three hundred twenty-two million, two hundred twenty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 9548 19096 12480217 24960434 49920868 87361519 99841736 137282387 174723038 274564774 349446076 386886727 549129548 698892152 773773454 960976709 1098259096 1547546908 1921953418 2708207089 3095093816 3843906836 4255753997 5416414178 7687813672 8511507994 10832828356 17023015988 21665656712 29790277979 34046031976 59580555958 119161111916 238322223832