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232982568 = 2336713439
BaseRepresentation
bin11011110001100…
…00100000101000
3121020101202000000
431320300200220
5434120420233
635041343000
75526214320
oct1570604050
9536352000
10232982568
1110a570285
1266037a60
1339364a10
1422d2a280
15156c1d13
hexde30828

232982568 has 224 divisors, whose sum is σ = 807945600. Its totient is φ = 61305984.

The previous prime is 232982551. The next prime is 232982573. The reversal of 232982568 is 865289232.

It is a happy number.

232982568 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 82 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530493 + ... + 530931.

It is an arithmetic number, because the mean of its divisors is an integer number (3606900).

Almost surely, 2232982568 is an apocalyptic number.

232982568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232982568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403972800).

232982568 is an abundant number, since it is smaller than the sum of its proper divisors (574963032).

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

232982568 is a wasteful number, since it uses less digits than its factorization.

232982568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 232982568 is about 15263.7665076481. The cubic root of 232982568 is about 615.3296032138.

The spelling of 232982568 in words is "two hundred thirty-two million, nine hundred eighty-two thousand, five hundred sixty-eight".