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230645408 = 2571954193
BaseRepresentation
bin11011011111101…
…01111010100000
3121002000000000112
431233311322200
5433021123113
634515310452
75500311410
oct1557657240
9532000015
10230645408
11109214344
12652ab428
1338a26c96
14228bc640
15153ae5a8
hexdbf5ea0

230645408 has 48 divisors (see below), whose sum is σ = 546275520. Its totient is φ = 93643776.

The previous prime is 230645407. The next prime is 230645411. The reversal of 230645408 is 804546032.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (230645407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22841 + ... + 31352.

It is an arithmetic number, because the mean of its divisors is an integer number (11380740).

Almost surely, 2230645408 is an apocalyptic number.

230645408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230645408 is an abundant number, since it is smaller than the sum of its proper divisors (315630112).

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

230645408 is a wasteful number, since it uses less digits than its factorization.

230645408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54229 (or 54221 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 230645408 is about 15187.0144531438. The cubic root of 230645408 is about 613.2651289417.

The spelling of 230645408 in words is "two hundred thirty million, six hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 54193 108386 216772 379351 433544 758702 867088 1029667 1517404 1734176 2059334 3034808 4118668 6069616 7207669 8237336 12139232 14415338 16474672 28830676 32949344 57661352 115322704 230645408