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230923920 = 24351756599
BaseRepresentation
bin11011100001110…
…01111010010000
3121002112011001210
431300321322100
5433104031140
634525300120
75502551403
oct1560717220
9532464053
10230923920
11109394617
1265404640
1338ac3996
1422951d3a
1515416d80
hexdc39e90

230923920 has 80 divisors (see below), whose sum is σ = 757987200. Its totient is φ = 57956352.

The previous prime is 230923909. The next prime is 230923943. The reversal of 230923920 is 29329032.

It is a happy number.

230923920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24220 + ... + 32379.

It is an arithmetic number, because the mean of its divisors is an integer number (9474840).

Almost surely, 2230923920 is an apocalyptic number.

230923920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230923920 is an abundant number, since it is smaller than the sum of its proper divisors (527063280).

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

230923920 is a wasteful number, since it uses less digits than its factorization.

230923920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56632 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 230923920 is about 15196.1810992104. The cubic root of 230923920 is about 613.5118756622.

The spelling of 230923920 in words is "two hundred thirty million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 56599 113198 169797 226396 282995 339594 452792 565990 679188 848985 905584 962183 1131980 1358376 1697970 1924366 2263960 2716752 2886549 3395940 3848732 4527920 4810915 5773098 6791880 7697464 9621830 11546196 13583760 14432745 15394928 19243660 23092392 28865490 38487320 46184784 57730980 76974640 115461960 230923920