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231341645568 = 283112331193199
BaseRepresentation
bin1101011101110100001…
…0010101111100000000
3211010010121010020121010
43113131002111330000
512242241430124233
6254135450200520
722466601353655
oct3273502257400
9733117106533
10231341645568
118a125367420
1238a03a23140
1318a7a640a97
14b2a87abc2c
15603ec67b63
hex35dd095f00

231341645568 has 576 divisors, whose sum is σ = 730895155200. Its totient is φ = 64231833600.

The previous prime is 231341645543. The next prime is 231341645593. The reversal of 231341645568 is 865546143132.

It is an interprime number because it is at equal distance from previous prime (231341645543) and next prime (231341645593).

It is a super-2 number, since 2×2313416455682 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1162520733 + ... + 1162520931.

It is an arithmetic number, because the mean of its divisors is an integer number (1268915200).

Almost surely, 2231341645568 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 231341645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365447577600).

231341645568 is an abundant number, since it is smaller than the sum of its proper divisors (499553509632).

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

231341645568 is a wasteful number, since it uses less digits than its factorization.

231341645568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 231341645568 in words is "two hundred thirty-one billion, three hundred forty-one million, six hundred forty-five thousand, five hundred sixty-eight".