Search a number
-
+
232103232 = 263444773
BaseRepresentation
bin11011101010110…
…01110101000000
3121011202001210000
431311121311000
5433404300412
635010440000
75515562544
oct1565316500
9534661700
10232103232
1110a01a659
1265893000
13391176ba
1422b7ba24
151559b4dc
hexdd59d40

232103232 has 70 divisors (see below), whose sum is σ = 688042058. Its totient is φ = 77366016.

The previous prime is 232103219. The next prime is 232103239. The reversal of 232103232 is 232301232.

It is a happy number.

232103232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211527936 + 20575296 = 14544^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232103239) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17203 + ... + 27570.

Almost surely, 2232103232 is an apocalyptic number.

It is an amenable number.

232103232 is an abundant number, since it is smaller than the sum of its proper divisors (455938826).

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

232103232 is an equidigital number, since it uses as much as digits as its factorization.

232103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44797 (or 44778 counting only the distinct ones).

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

The square root of 232103232 is about 15234.9345912610. The cubic root of 232103232 is about 614.5544899591.

Adding to 232103232 its reverse (232301232), we get a palindrome (464404464).

The spelling of 232103232 in words is "two hundred thirty-two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44773 89546 134319 179092 268638 358184 402957 537276 716368 805914 1074552 1208871 1432736 1611828 2149104 2417742 2865472 3223656 3626613 4298208 4835484 6447312 7253226 8596416 9670968 12894624 14506452 19341936 25789248 29012904 38683872 58025808 77367744 116051616 232103232