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230926480 = 2456179599
BaseRepresentation
bin11011100001110…
…10100010010000
3121002112021120121
431300322202100
5433104121410
634525320024
75502562021
oct1560724220
9532467517
10230926480
11109396534
1265406014
1338ac4bb5
1422952c48
15154179da
hexdc3a890

230926480 has 80 divisors (see below), whose sum is σ = 553536000. Its totient is φ = 89556480.

The previous prime is 230926429. The next prime is 230926529. The reversal of 230926480 is 84629032.

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

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, 385221 + ... + 385819.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2230926480 is an apocalyptic number.

230926480 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 230926480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768000).

230926480 is an abundant number, since it is smaller than the sum of its proper divisors (322609520).

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

230926480 is a wasteful number, since it uses less digits than its factorization.

230926480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 230926480 is about 15196.2653306660. The cubic root of 230926480 is about 613.5141427648.

The spelling of 230926480 in words is "two hundred thirty million, nine hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 79 80 122 158 244 305 316 395 488 599 610 632 790 976 1198 1220 1264 1580 2396 2440 2995 3160 4792 4819 4880 5990 6320 9584 9638 11980 19276 23960 24095 36539 38552 47321 47920 48190 73078 77104 94642 96380 146156 182695 189284 192760 236605 292312 365390 378568 385520 473210 584624 730780 757136 946420 1461560 1892840 2886581 2923120 3785680 5773162 11546324 14432905 23092648 28865810 46185296 57731620 115463240 230926480