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232644222446232 = 2331937101166981799
BaseRepresentation
bin110100111001011010110100…
…001111001110101010011000
31010111201120101212100202022210
4310321122310033032222120
5220443120331421234412
62142443140320315120
7100000663464656562
oct6471326417165230
91114646355322283
10232644222446232
1168144951604103
1222114013472aa0
139ca73436a992c
14416407cdac332
151bd692421083c
hexd396b43cea98

232644222446232 has 256 divisors, whose sum is σ = 635381827200000. Its totient is φ = 70730010777600.

The previous prime is 232644222446191. The next prime is 232644222446239.

232644222446232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2326442224462322 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232644222446239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2844055269 + ... + 2844137067.

It is an arithmetic number, because the mean of its divisors is an integer number (2481960262500).

Almost surely, 2232644222446232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232644222446232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317690913600000).

232644222446232 is an abundant number, since it is smaller than the sum of its proper divisors (402737604753768).

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

232644222446232 is a wasteful number, since it uses less digits than its factorization.

232644222446232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83634 (or 83630 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 232644222446232 in words is "two hundred thirty-two trillion, six hundred forty-four billion, two hundred twenty-two million, four hundred forty-six thousand, two hundred thirty-two".