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230231808 = 28353701
BaseRepresentation
bin11011011100100…
…00111100000000
3121001012222200000
431232100330000
5432414404213
634502400000
75463636522
oct1556207400
9531188600
10230231808
11108a61624
1265130000
1338910951
1422811a12
151532bc73
hexdb90f00

230231808 has 108 divisors (see below), whose sum is σ = 688586808. Its totient is φ = 76723200.

The previous prime is 230231801. The next prime is 230231839. The reversal of 230231808 is 808132032.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60358 + ... + 64058.

Almost surely, 2230231808 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 230231808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344293404).

230231808 is an abundant number, since it is smaller than the sum of its proper divisors (458355000).

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

230231808 is an frugal number, since it uses more digits than its factorization.

230231808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230231808 is about 15173.3914468717. The cubic root of 230231808 is about 612.8983346980.

The spelling of 230231808 in words is "two hundred thirty million, two hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3701 3888 5184 6912 7402 7776 10368 11103 14804 15552 20736 22206 29608 31104 33309 44412 59216 62208 66618 88824 99927 118432 133236 177648 199854 236864 266472 299781 355296 399708 473728 532944 599562 710592 799416 899343 947456 1065888 1199124 1421184 1598832 1798686 2131776 2398248 2842368 3197664 3597372 4263552 4796496 6395328 7194744 8527104 9592992 12790656 14389488 19185984 25581312 28778976 38371968 57557952 76743936 115115904 230231808