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230711292 = 223275691609
BaseRepresentation
bin11011100000001…
…01111111111100
3121002010100101200
431300011333330
5433030230132
634520535500
75501004450
oct1560057774
9532110350
10230711292
11109259899
1265321590
1338a4ac76
14228d8660
15153c3d7c
hexdc05ffc

230711292 has 72 divisors (see below), whose sum is σ = 668085600. Its totient is φ = 65760768.

The previous prime is 230711237. The next prime is 230711339. The reversal of 230711292 is 292117032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142584 + ... + 144192.

Almost surely, 2230711292 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 230711292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334042800).

230711292 is an abundant number, since it is smaller than the sum of its proper divisors (437374308).

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

230711292 is a wasteful number, since it uses less digits than its factorization.

230711292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 230711292 is about 15189.1833881878. The cubic root of 230711292 is about 613.3235165673.

The spelling of 230711292 in words is "two hundred thirty million, seven hundred eleven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 569 1138 1609 1707 2276 3218 3414 3983 4827 5121 6436 6828 7966 9654 10242 11263 11949 14481 15932 19308 20484 22526 23898 28962 33789 35847 45052 47796 57924 67578 71694 101367 135156 143388 202734 405468 915521 1831042 2746563 3662084 5493126 6408647 8239689 10986252 12817294 16479378 19225941 25634588 32958756 38451882 57677823 76903764 115355646 230711292