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232864 = 2519383
BaseRepresentation
bin111000110110100000
3102211102121
4320312200
524422424
64554024
71656622
oct706640
9384377
10232864
11149a55
12b2914
1381cb8
1460c12
1548ee4
hex38da0

232864 has 24 divisors (see below), whose sum is σ = 483840. Its totient is φ = 110016.

The previous prime is 232861. The next prime is 232871. The reversal of 232864 is 468232.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2232864 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 232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

232864 is an abundant number, since it is smaller than the sum of its proper divisors (250976).

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

232864 is a wasteful number, since it uses less digits than its factorization.

232864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 232864 is about 482.5598408488. The cubic root of 232864 is about 61.5225202298.

The spelling of 232864 in words is "two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 383 608 766 1532 3064 6128 7277 12256 14554 29108 58216 116432 232864