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230466816 = 283333343
BaseRepresentation
bin11011011110010…
…10010100000000
3121001122221001000
431233022110000
5432444414231
634511412000
75465635626
oct1557122400
9531587030
10230466816
11109102148
1265224000
13389938c8
1422873516
15153766e6
hexdbca500

230466816 has 72 divisors (see below), whose sum is σ = 681551360. Its totient is φ = 76819968.

The previous prime is 230466811. The next prime is 230466833. The reversal of 230466816 is 618664032.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2304668162 = 106229906554355712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230466811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9760 + ... + 23583.

Almost surely, 2230466816 is an apocalyptic number.

It is an amenable number.

230466816 is an abundant number, since it is smaller than the sum of its proper divisors (451084544).

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

230466816 is an equidigital number, since it uses as much as digits as its factorization.

230466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33368 (or 33348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230466816 is about 15181.1335545143. The cubic root of 230466816 is about 613.1068014499.

The spelling of 230466816 in words is "two hundred thirty million, four hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 33343 66686 100029 133372 200058 266744 300087 400116 533488 600174 800232 900261 1066976 1200348 1600464 1800522 2133952 2400696 3200928 3601044 4267904 4801392 6401856 7202088 8535808 9602784 12803712 14404176 19205568 25607424 28808352 38411136 57616704 76822272 115233408 230466816