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232002 = 23212889
BaseRepresentation
bin111000101001000010
3102210020200
4320221002
524411002
64550030
71654251
oct705102
9383220
10232002
11149341
12b2316
13817a4
1460798
1548b1c
hex38a42

232002 has 12 divisors (see below), whose sum is σ = 502710. Its totient is φ = 77328.

The previous prime is 231967. The next prime is 232003. The reversal of 232002 is 200232.

It can be written as a sum of positive squares in only one way, i.e., 184041 + 47961 = 429^2 + 219^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (232003) by changing a digit.

232002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6427 + ... + 6462.

2232002 is an apocalyptic number.

232002 is an abundant number, since it is smaller than the sum of its proper divisors (270708).

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

232002 is a wasteful number, since it uses less digits than its factorization.

232002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232002 is about 481.6658592842. The cubic root of 232002 is about 61.4465130831.

Adding to 232002 its reverse (200232), we get a palindrome (432234).

It can be divided in two parts, 23 and 2002, that added together give a square (2025 = 452).

The spelling of 232002 in words is "two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 12889 25778 38667 77334 116001 232002