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230832900 = 2232521913499
BaseRepresentation
bin11011100001000…
…11101100000100
3121002100112012200
431300203230010
5433043123100
634523314500
75502022134
oct1560435404
9532315180
10230832900
111093321a1
126537ba30
1338a9141c
142292aac4
15153e9e00
hexdc23b04

230832900 has 108 divisors (see below), whose sum is σ = 761670000. Its totient is φ = 58311360.

The previous prime is 230832893. The next prime is 230832907. The reversal of 230832900 is 9238032.

It is an interprime number because it is at equal distance from previous prime (230832893) and next prime (230832907).

It is not an unprimeable number, because it can be changed into a prime (230832907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10351 + ... + 23849.

It is an arithmetic number, because the mean of its divisors is an integer number (7052500).

Almost surely, 2230832900 is an apocalyptic number.

230832900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230832900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380835000).

230832900 is an abundant number, since it is smaller than the sum of its proper divisors (530837100).

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

230832900 is a wasteful number, since it uses less digits than its factorization.

230832900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230832900 is about 15193.1859726655. The cubic root of 230832900 is about 613.4312586502.

The spelling of 230832900 in words is "two hundred thirty million, eight hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 13499 17100 26998 40497 53996 67495 80994 121491 134990 161988 202485 242982 256481 269980 337475 404970 485964 512962 607455 674950 769443 809940 1012425 1025924 1214910 1282405 1349900 1538886 2024850 2308329 2429820 2564810 3037275 3077772 3847215 4049700 4616658 5129620 6074550 6412025 7694430 9233316 11541645 12149100 12824050 15388860 19236075 23083290 25648100 38472150 46166580 57708225 76944300 115416450 230832900