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231412896 = 253311131873
BaseRepresentation
bin11011100101100…
…01010010100000
3121010102222211000
431302301102200
5433220203041
634543552000
75506656111
oct1562612240
9533388730
10231412896
11109698a30
12655bb600
1338c35410
1422a3c208
15154b1bb6
hexdcb14a0

231412896 has 192 divisors, whose sum is σ = 793376640. Its totient is φ = 64696320.

The previous prime is 231412889. The next prime is 231412933. The reversal of 231412896 is 698214132.

231412896 is a `hidden beast` number, since 231 + 412 + 8 + 9 + 6 = 666.

231412896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 231412896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122616 + ... + 124488.

It is an arithmetic number, because the mean of its divisors is an integer number (4132170).

Almost surely, 2231412896 is an apocalyptic number.

231412896 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 231412896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396688320).

231412896 is an abundant number, since it is smaller than the sum of its proper divisors (561963744).

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

231412896 is a wasteful number, since it uses less digits than its factorization.

231412896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1902 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 231412896 is about 15212.2613703552. The cubic root of 231412896 is about 613.9446027255.

The spelling of 231412896 in words is "two hundred thirty-one million, four hundred twelve thousand, eight hundred ninety-six".