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232232013 = 32136173217
BaseRepresentation
bin11011101011110…
…01010001001101
3121011222121102200
431311321101031
5433422411023
635013312113
75516640156
oct1565712115
9534877380
10232232013
1110a0a8392
1265935639
13391611c0
1422bb292d
15155c4743
hexdd7944d

232232013 has 24 divisors (see below), whose sum is σ = 361947768. Its totient is φ = 142636032.

The previous prime is 232232009. The next prime is 232232023. The reversal of 232232013 is 310232232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3526884 + 228705129 = 1878^2 + 15123^2 .

It is not a de Polignac number, because 232232013 - 22 = 232232009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232232023) 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, 70581 + ... + 73797.

It is an arithmetic number, because the mean of its divisors is an integer number (15081157).

Almost surely, 2232232013 is an apocalyptic number.

It is an amenable number.

232232013 is a deficient number, since it is larger than the sum of its proper divisors (129715755).

232232013 is a wasteful number, since it uses less digits than its factorization.

232232013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232232013 is about 15239.1605083745. The cubic root of 232232013 is about 614.6681294925.

Adding to 232232013 its reverse (310232232), we get a palindrome (542464245).

It can be divided in two parts, 23 and 2232013, that added together give a square (2232036 = 14942).

The spelling of 232232013 in words is "two hundred thirty-two million, two hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 13 39 117 617 1851 3217 5553 8021 9651 24063 28953 41821 72189 125463 376389 1984889 5954667 17864001 25803557 77410671 232232013