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232513232 = 24721571889
BaseRepresentation
bin11011101101111…
…01111011010000
3121012111220012012
431312331323100
5434010410412
635023322052
75522221100
oct1566757320
9535456165
10232513232
1110a27a6a6
1265a50328
133922c1c3
1422c47200
151562cc22
hexddbded0

232513232 has 60 divisors (see below), whose sum is σ = 527661540. Its totient is φ = 98961408.

The previous prime is 232513219. The next prime is 232513243. The reversal of 232513232 is 232315232.

It can be written as a sum of positive squares in 2 ways, for example, as 89567296 + 142945936 = 9464^2 + 11956^2 .

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 232513198 and 232513207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122144 + ... + 124032.

It is an arithmetic number, because the mean of its divisors is an integer number (8794359).

Almost surely, 2232513232 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 232513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263830770).

232513232 is an abundant number, since it is smaller than the sum of its proper divisors (295148308).

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

232513232 is a wasteful number, since it uses less digits than its factorization.

232513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2055 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 232513232 is about 15248.3845701766. The cubic root of 232513232 is about 614.9161381233.

Adding to 232513232 its reverse (232315232), we get a palindrome (464828464).

The spelling of 232513232 in words is "two hundred thirty-two million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 157 196 314 392 628 784 1099 1256 1889 2198 2512 3778 4396 7556 7693 8792 13223 15112 15386 17584 26446 30224 30772 52892 61544 92561 105784 123088 185122 211568 296573 370244 593146 740488 1186292 1480976 2076011 2372584 4152022 4745168 8304044 14532077 16608088 29064154 33216176 58128308 116256616 232513232