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230870496 = 25311172153
BaseRepresentation
bin11011100001011…
…00110111100000
3121002102102210010
431300230313200
5433100323441
634524204520
75502236553
oct1560546740
9532372703
10230870496
1110935846a
1265399740
1338aa557c
142293a69a
1515406116
hexdc2cde0

230870496 has 48 divisors (see below), whose sum is σ = 606859344. Its totient is φ = 76852224.

The previous prime is 230870477. The next prime is 230870531. The reversal of 230870496 is 694078032.

230870496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106156 + ... + 108308.

It is an arithmetic number, because the mean of its divisors is an integer number (12642903).

Almost surely, 2230870496 is an apocalyptic number.

It is an amenable number.

230870496 is an abundant number, since it is smaller than the sum of its proper divisors (375988848).

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

230870496 is a wasteful number, since it uses less digits than its factorization.

230870496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 230870496 is about 15194.4231874724. The cubic root of 230870496 is about 613.4645602429.

The spelling of 230870496 in words is "two hundred thirty million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1117 2153 2234 3351 4306 4468 6459 6702 8612 8936 12918 13404 17224 17872 25836 26808 34448 35744 51672 53616 68896 103344 107232 206688 2404901 4809802 7214703 9619604 14429406 19239208 28858812 38478416 57717624 76956832 115435248 230870496