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232427268 = 22326456313
BaseRepresentation
bin11011101101010…
…00111100000100
3121012100112021100
431312220330010
5434000133033
635021420100
75521412343
oct1566507404
9535315240
10232427268
1110a221057
1265a0a630
13391cc038
1422c23b5a
1515612513
hexdda8f04

232427268 has 18 divisors (see below), whose sum is σ = 587524574. Its totient is φ = 77475744.

The previous prime is 232427249. The next prime is 232427287. The reversal of 232427268 is 862724232.

It is a happy number.

232427268 is a `hidden beast` number, since 2 + 324 + 272 + 68 = 666.

232427268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232427249) and next prime (232427287).

It can be written as a sum of positive squares in only one way, i.e., 145154304 + 87272964 = 12048^2 + 9342^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6456313 = 232427268 / (2 + 3 + 2 + 4 + 2 + 7 + 2 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3228121 + ... + 3228192.

Almost surely, 2232427268 is an apocalyptic number.

It is an amenable number.

232427268 is an abundant number, since it is smaller than the sum of its proper divisors (355097306).

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

232427268 is a wasteful number, since it uses less digits than its factorization.

232427268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456323 (or 6456318 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 232427268 is about 15245.5655191928. The cubic root of 232427268 is about 614.8403472156.

It can be divided in two parts, 2324 and 27268, that added together give a palindrome (29592).

The spelling of 232427268 in words is "two hundred thirty-two million, four hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6456313 12912626 19368939 25825252 38737878 58106817 77475756 116213634 232427268