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230903792 = 24717173701
BaseRepresentation
bin11011100001101…
…00111111110000
3121002111010110022
431300310333300
5433102410132
634525023012
75502435620
oct1560647760
9532433408
10230903792
11109380489
12653b4a68
1338ab7782
1422948880
1515410e12
hexdc34ff0

230903792 has 80 divisors (see below), whose sum is σ = 545268672. Its totient is φ = 92467200.

The previous prime is 230903749. The next prime is 230903821. The reversal of 230903792 is 297309032.

It is a super-2 number, since 2×2309037922 = 106633122319958528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329042 + ... + 329742.

Almost surely, 2230903792 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 230903792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272634336).

230903792 is an abundant number, since it is smaller than the sum of its proper divisors (314364880).

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

230903792 is a wasteful number, since it uses less digits than its factorization.

230903792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 230903792 is about 15195.5188131238. The cubic root of 230903792 is about 613.4940499849.

The spelling of 230903792 in words is "two hundred thirty million, nine hundred three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 173 238 272 346 476 692 701 952 1211 1384 1402 1904 2422 2768 2804 2941 4844 4907 5608 5882 9688 9814 11216 11764 11917 19376 19628 20587 23528 23834 39256 41174 47056 47668 78512 82348 83419 95336 121273 164696 166838 190672 242546 329392 333676 485092 667352 848911 970184 1334704 1697822 1940368 2061641 3395644 4123282 6791288 8246564 13582576 14431487 16493128 28862974 32986256 57725948 115451896 230903792