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230953896 = 23337397151
BaseRepresentation
bin11011100010000…
…01001110101000
3121002120200012000
431301001032220
5433111011041
634530051000
75503034655
oct1561011650
9532520160
10230953896
11109405098
1265419a60
1338b04514
142295cc2c
1515420bb6
hexdc413a8

230953896 has 128 divisors (see below), whose sum is σ = 661382400. Its totient is φ = 74649600.

The previous prime is 230953871. The next prime is 230953897. The reversal of 230953896 is 698359032.

230953896 is a `hidden beast` number, since 23 + 0 + 9 + 538 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (230953897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529421 + ... + 1529571.

It is an arithmetic number, because the mean of its divisors is an integer number (5167050).

Almost surely, 2230953896 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 230953896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330691200).

230953896 is an abundant number, since it is smaller than the sum of its proper divisors (430428504).

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

230953896 is a wasteful number, since it uses less digits than its factorization.

230953896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 230953896 is about 15197.1673676380. The cubic root of 230953896 is about 613.5384209653.

The spelling of 230953896 in words is "two hundred thirty million, nine hundred fifty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 97 108 146 151 194 216 219 291 292 302 388 438 453 582 584 604 657 776 873 876 906 1164 1208 1314 1359 1746 1752 1812 1971 2328 2619 2628 2718 3492 3624 3942 4077 5238 5256 5436 6984 7081 7884 8154 10476 10872 11023 14162 14647 15768 16308 20952 21243 22046 28324 29294 32616 33069 42486 43941 44092 56648 58588 63729 66138 84972 87882 88184 99207 117176 127458 131823 132276 169944 175764 191187 198414 254916 263646 264552 297621 351528 382374 395469 396828 509832 527292 595242 764748 790938 793656 1054584 1069231 1190484 1529496 1581876 2138462 2380968 3163752 3207693 4276924 6415386 8553848 9623079 12830772 19246158 25661544 28869237 38492316 57738474 76984632 115476948 230953896