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231979968 = 263211194147
BaseRepresentation
bin11011101001110…
…11101111000000
3121011111210200200
431310323233000
5433341324333
635004045200
75514540303
oct1564735700
9534453620
10231979968
11109a45a90
1265833800
13390a356c
1422b48b3a
1515574c13
hexdd3bbc0

231979968 has 336 divisors, whose sum is σ = 798819840. Its totient is φ = 63590400.

The previous prime is 231979967. The next prime is 231979991. The reversal of 231979968 is 869979132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231979963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4935721 + ... + 4935767.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2231979968 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 231979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

231979968 is an abundant number, since it is smaller than the sum of its proper divisors (566839872).

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

231979968 is a wasteful number, since it uses less digits than its factorization.

231979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 231979968 is about 15230.8886149167. Note that the first 3 decimals coincide. The cubic root of 231979968 is about 614.4456793837.

The spelling of 231979968 in words is "two hundred thirty-one million, nine hundred seventy-nine thousand, nine hundred sixty-eight".