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231952 = 24719109
BaseRepresentation
bin111000101000010000
3102210011211
4320220100
524410302
64545504
71654150
oct705020
9383154
10231952
111492a6
12b2294
1381766
1460760
1548ad7
hex38a10

231952 has 40 divisors (see below), whose sum is σ = 545600. Its totient is φ = 93312.

The previous prime is 231947. The next prime is 231961. The reversal of 231952 is 259132.

It is an unprimeable number.

231952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2074 + ... + 2182.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2231952 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 231952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272800).

231952 is an abundant number, since it is smaller than the sum of its proper divisors (313648).

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

231952 is a wasteful number, since it uses less digits than its factorization.

231952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 231952 is about 481.6139532862. The cubic root of 231952 is about 61.4420985430.

It can be divided in two parts, 231 and 952, that multiplied together give a palindrome (219912).

The spelling of 231952 in words is "two hundred thirty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 109 112 133 152 218 266 304 436 532 763 872 1064 1526 1744 2071 2128 3052 4142 6104 8284 12208 14497 16568 28994 33136 57988 115976 231952