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231313865600 = 2752314156873
BaseRepresentation
bin1101011101101101100…
…0010111101110000000
3211010001122211212122102
43113123120113232000
512242212322144400
6254133014525532
722466113262546
oct3273330275600
9733048755572
10231313865600
118a110712974
12389b66668a8
1318a7496542c
14b2a4c19d96
15603c5cb9d5
hex35db617b80

231313865600 has 192 divisors, whose sum is σ = 604247575680. Its totient is φ = 87355392000.

The previous prime is 231313865561. The next prime is 231313865603. The reversal of 231313865600 is 6568313132.

It is a super-2 number, since 2×2313138656002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231313865603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4038764 + ... + 4095636.

It is an arithmetic number, because the mean of its divisors is an integer number (3147122790).

Almost surely, 2231313865600 is an apocalyptic number.

231313865600 is a gapful number since it is divisible by the number (20) 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 231313865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302123787840).

231313865600 is an abundant number, since it is smaller than the sum of its proper divisors (372933710080).

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

231313865600 is a wasteful number, since it uses less digits than its factorization.

231313865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56969 (or 56952 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 231313865600 in words is "two hundred thirty-one billion, three hundred thirteen million, eight hundred sixty-five thousand, six hundred".