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230621472 = 2533293911
BaseRepresentation
bin11011011111100…
…00000100100000
3121001221210012000
431233300010200
5433014341342
634515004000
75500151544
oct1557600440
9531853160
10230621472
111091a8364
1265299600
1338a19113
14228b3a24
15153a744c
hexdbf0120

230621472 has 96 divisors (see below), whose sum is σ = 675682560. Its totient is φ = 76527360.

The previous prime is 230621467. The next prime is 230621491. The reversal of 230621472 is 274126032.

230621472 is a `hidden beast` number, since 2 + 30 + 621 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 252697 + ... + 253607.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2230621472 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 230621472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

230621472 is an abundant number, since it is smaller than the sum of its proper divisors (445061088).

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

230621472 is a wasteful number, since it uses less digits than its factorization.

230621472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230621472 is about 15186.2263910426. The cubic root of 230621472 is about 613.2439136599.

The spelling of 230621472 in words is "two hundred thirty million, six hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 293 432 586 864 879 911 1172 1758 1822 2344 2637 2733 3516 3644 4688 5274 5466 7032 7288 7911 8199 9376 10548 10932 14064 14576 15822 16398 21096 21864 24597 28128 29152 31644 32796 42192 43728 49194 63288 65592 84384 87456 98388 126576 131184 196776 253152 262368 266923 393552 533846 787104 800769 1067692 1601538 2135384 2402307 3203076 4270768 4804614 6406152 7206921 8541536 9609228 12812304 14413842 19218456 25624608 28827684 38436912 57655368 76873824 115310736 230621472