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232200232 = 231117914741
BaseRepresentation
bin11011101011100…
…01100000101000
3121011220222211121
431311301200220
5433420401412
635012505024
75516445415
oct1565614050
9534828747
10232200232
1110a086520
126591b174
133914c8b4
1422ba510c
15155ba107
hexdd71828

232200232 has 32 divisors (see below), whose sum is σ = 477640800. Its totient is φ = 104948800.

The previous prime is 232200217. The next prime is 232200233. The reversal of 232200232 is 232002232.

It is not an unprimeable number, because it can be changed into a prime (232200233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8382 + ... + 23122.

It is an arithmetic number, because the mean of its divisors is an integer number (14926275).

Almost surely, 2232200232 is an apocalyptic number.

232200232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

232200232 is an abundant number, since it is smaller than the sum of its proper divisors (245440568).

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

232200232 is a wasteful number, since it uses less digits than its factorization.

232200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232200232 is about 15238.1177315310. The cubic root of 232200232 is about 614.6400890589.

Adding to 232200232 its reverse (232002232), we get a palindrome (464202464).

The spelling of 232200232 in words is "two hundred thirty-two million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 14741 15752 29482 58964 117928 162151 324302 648604 1297208 2638639 5277278 10554556 21109112 29025029 58050058 116100116 232200232