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232132230 = 23451126053
BaseRepresentation
bin11011101011000…
…00111010000110
3121011210112120000
431311200322012
5433411212410
635011222130
75516043231
oct1565407206
9534715500
10232132230
1110a03a420
12658a7946
1339127965
1422b88418
15155a4dc0
hexdd60e86

232132230 has 80 divisors (see below), whose sum is σ = 680947344. Its totient is φ = 56272320.

The previous prime is 232132223. The next prime is 232132231. The reversal of 232132230 is 32231232.

It is a happy number.

232132230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4117 + ... + 21936.

Almost surely, 2232132230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340473672).

232132230 is an abundant number, since it is smaller than the sum of its proper divisors (448815114).

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

232132230 is a wasteful number, since it uses less digits than its factorization.

232132230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26074 counting only the distinct ones).

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

The square root of 232132230 is about 15235.8862558107. The cubic root of 232132230 is about 614.5800821763.

Adding to 232132230 its reverse (32231232), we get a palindrome (264363462).

The spelling of 232132230 in words is "two hundred thirty-two million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 26053 52106 78159 130265 156318 234477 260530 286583 390795 468954 573166 703431 781590 859749 1172385 1406862 1432915 1719498 2110293 2344770 2579247 2865830 3517155 4220586 4298745 5158494 7034310 7737741 8597490 10551465 12896235 15475482 21102930 23213223 25792470 38688705 46426446 77377410 116066115 232132230