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231693696 = 273613191
BaseRepresentation
bin11011100111101…
…01110110000000
3121010222021000000
431303311312000
5433303144241
634554000000
75512235553
oct1563656600
9533867000
10231693696
1110986a9a3
1265716000
1339003180
1422ab269a
1515519eb6
hexdcf5d80

231693696 has 224 divisors, whose sum is σ = 749185920. Its totient is φ = 70917120.

The previous prime is 231693653. The next prime is 231693701. The reversal of 231693696 is 696396132.

It is a happy number.

It is a super-2 number, since 2×2316936962 = 107363937532280832, which 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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212961 + ... + 1213151.

It is an arithmetic number, because the mean of its divisors is an integer number (3344580).

Almost surely, 2231693696 is an apocalyptic number.

231693696 is a gapful number since it is divisible by the number (26) 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 231693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374592960).

231693696 is an abundant number, since it is smaller than the sum of its proper divisors (517492224).

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

231693696 is an equidigital number, since it uses as much as digits as its factorization.

231693696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 231693696 is about 15221.4879693150. The cubic root of 231693696 is about 614.1928256569.

The spelling of 231693696 in words is "two hundred thirty-one million, six hundred ninety-three thousand, six hundred ninety-six".