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230465016 = 23329732999
BaseRepresentation
bin11011011110010…
…01110111111000
3121001122211120100
431233021313320
5432444340031
634511355400
75465630445
oct1557116770
9531584510
10230465016
11109100861
1265222b60
1338992b42
14228729cc
1515375de6
hexdbc9df8

230465016 has 48 divisors (see below), whose sum is σ = 630630000. Its totient is φ = 76027392.

The previous prime is 230465009. The next prime is 230465029. The reversal of 230465016 is 610564032.

230465016 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 650 + 1 + 6 = 666.

It is a super-2 number, since 2×2304650162 = 106228247199760512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9516 + ... + 23483.

It is an arithmetic number, because the mean of its divisors is an integer number (13138125).

Almost surely, 2230465016 is an apocalyptic number.

It is an amenable number.

230465016 is an abundant number, since it is smaller than the sum of its proper divisors (400164984).

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

230465016 is a wasteful number, since it uses less digits than its factorization.

230465016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33108 (or 33101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230465016 is about 15181.0742702880. The cubic root of 230465016 is about 613.1052052764.

The spelling of 230465016 in words is "two hundred thirty million, four hundred sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 32999 65998 98997 131996 197994 263992 296991 395988 593982 791976 1187964 2375928 3200903 6401806 9602709 12803612 19205418 25607224 28808127 38410836 57616254 76821672 115232508 230465016