Search a number
-
+
232049412 = 223272573583
BaseRepresentation
bin11011101010011…
…00101100000100
3121011122022221200
431311030230010
5433401040122
635005342500
75515246620
oct1565145404
9534568850
10232049412
11109a93181
1265867a30
13390c905a
1422b66180
151558a5ac
hexdd4cb04

232049412 has 72 divisors (see below), whose sum is σ = 673161216. Its totient is φ = 66023424.

The previous prime is 232049399. The next prime is 232049417. The reversal of 232049412 is 214940232.

It is not an unprimeable number, because it can be changed into a prime (232049417) 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 23 ways as a sum of consecutive naturals, for example, 62973 + ... + 66555.

Almost surely, 2232049412 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 232049412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336580608).

232049412 is an abundant number, since it is smaller than the sum of its proper divisors (441111804).

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

232049412 is a wasteful number, since it uses less digits than its factorization.

232049412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 232049412 is about 15233.1681537361. The cubic root of 232049412 is about 614.5069854081.

Adding to 232049412 its reverse (214940232), we get a palindrome (446989644).

The spelling of 232049412 in words is "two hundred thirty-two million, forty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 257 514 771 1028 1542 1799 2313 3084 3583 3598 4626 5397 7166 7196 9252 10749 10794 14332 16191 21498 21588 25081 32247 32382 42996 50162 64494 64764 75243 100324 128988 150486 225729 300972 451458 902916 920831 1841662 2762493 3683324 5524986 6445817 8287479 11049972 12891634 16574958 19337451 25783268 33149916 38674902 58012353 77349804 116024706 232049412