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230713812 = 22337793863
BaseRepresentation
bin11011100000001…
…10100111010100
3121002010110212000
431300012213110
5433030320222
634520555300
75501015010
oct1560064724
9532113760
10230713812
1110926077a
1265322b30
1338a4c164
14228d9540
15153c49ac
hexdc069d4

230713812 has 96 divisors (see below), whose sum is σ = 692428800. Its totient is φ = 65066976.

The previous prime is 230713781. The next prime is 230713829. The reversal of 230713812 is 218317032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57793 + ... + 61655.

It is an arithmetic number, because the mean of its divisors is an integer number (7212800).

Almost surely, 2230713812 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 230713812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346214400).

230713812 is an abundant number, since it is smaller than the sum of its proper divisors (461714988).

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

230713812 is a wasteful number, since it uses less digits than its factorization.

230713812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 230713812 is about 15189.2663417296. The cubic root of 230713812 is about 613.3257496174.

The spelling of 230713812 in words is "two hundred thirty million, seven hundred thirteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 711 756 948 1106 1422 1659 2133 2212 2844 3318 3863 4266 4977 6636 7726 8532 9954 11589 14931 15452 19908 23178 27041 29862 34767 46356 54082 59724 69534 81123 104301 108164 139068 162246 208602 243369 305177 324492 417204 486738 610354 730107 915531 973476 1220708 1460214 1831062 2136239 2746593 2920428 3662124 4272478 5493186 6408717 8239779 8544956 10986372 12817434 16479558 19226151 25634868 32959116 38452302 57678453 76904604 115356906 230713812