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231323328 = 26321923919
BaseRepresentation
bin11011100100110…
…11011011000000
3121010021102221200
431302123123000
5433204321303
634542021200
75506134015
oct1562333300
9533242850
10231323328
11109637705
1265577800
1338c03712
1422a1770c
15154953a3
hexdc9b6c0

231323328 has 168 divisors, whose sum is σ = 729081600. Its totient is φ = 69797376.

The previous prime is 231323321. The next prime is 231323341. The reversal of 231323328 is 823323132.

231323328 is a `hidden beast` number, since 2 + 313 + 23 + 328 = 666.

231323328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231323321) 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, 251253 + ... + 252171.

Almost surely, 2231323328 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 231323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364540800).

231323328 is an abundant number, since it is smaller than the sum of its proper divisors (497758272).

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

231323328 is a wasteful number, since it uses less digits than its factorization.

231323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 231323328 is about 15209.3171444349. The cubic root of 231323328 is about 613.8653837376.

The spelling of 231323328 in words is "two hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty-eight".