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232288 = 2571761
BaseRepresentation
bin111000101101100000
3102210122021
4320231200
524413123
64551224
71655140
oct705540
9383567
10232288
11149581
12b2514
1381964
1460920
1548c5d
hex38b60

232288 has 48 divisors (see below), whose sum is σ = 562464. Its totient is φ = 92160.

The previous prime is 232259. The next prime is 232303. The reversal of 232288 is 882232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3778 + ... + 3838.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2232288 is an apocalyptic number.

232288 is a gapful number since it is divisible by the number (28) 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 232288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

232288 is an abundant number, since it is smaller than the sum of its proper divisors (330176).

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

232288 is a wasteful number, since it uses less digits than its factorization.

232288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 232288 is about 481.9626541549. The cubic root of 232288 is about 61.4717520701.

The spelling of 232288 in words is "two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 68 112 119 122 136 224 238 244 272 427 476 488 544 854 952 976 1037 1708 1904 1952 2074 3416 3808 4148 6832 7259 8296 13664 14518 16592 29036 33184 58072 116144 232288