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230475456 = 2634231933
BaseRepresentation
bin11011011110011…
…00011011000000
3121001200100220000
431233030123000
5433000203311
634511520000
75466003051
oct1557143300
9531610800
10230475456
11109108692
1265229000
1338997813
1422876728
1515379056
hexdbcc6c0

230475456 has 140 divisors (see below), whose sum is σ = 713274672. Its totient is φ = 73446912.

The previous prime is 230475437. The next prime is 230475533. The reversal of 230475456 is 654574032.

230475456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 230475456.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118266 + ... + 120198.

Almost surely, 2230475456 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 230475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356637336).

230475456 is an abundant number, since it is smaller than the sum of its proper divisors (482799216).

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

230475456 is a wasteful number, since it uses less digits than its factorization.

230475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 230475456 is about 15181.4181155780. The cubic root of 230475456 is about 613.1144629674.

The spelling of 230475456 in words is "two hundred thirty million, four hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 1933 2208 2484 2592 3312 3726 3866 4416 4968 5184 5799 6624 7452 7732 9936 11598 13248 14904 15464 17397 19872 23196 29808 30928 34794 39744 44459 46392 52191 59616 61856 69588 88918 92784 104382 119232 123712 133377 139176 156573 177836 185568 208764 266754 278352 313146 355672 371136 400131 417528 533508 556704 626292 711344 800262 835056 1067016 1113408 1200393 1252584 1422688 1600524 1670112 2134032 2400786 2505168 2845376 3201048 3340224 3601179 4268064 4801572 5010336 6402096 7202358 8536128 9603144 10020672 12804192 14404716 19206288 25608384 28809432 38412576 57618864 76825152 115237728 230475456