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230355468 = 223372192979
BaseRepresentation
bin11011011101011…
…11001000001100
3121001110021022000
431232233020030
5432432333333
634505152300
75464663200
oct1556571014
9531407260
10230355468
11109036522
126518b690
1338955015
1422844b00
1515353713
hexdbaf20c

230355468 has 288 divisors, whose sum is σ = 766080000. Its totient is φ = 59439744.

The previous prime is 230355467. The next prime is 230355473. The reversal of 230355468 is 864553032.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (230355467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2915853 + ... + 2915931.

It is an arithmetic number, because the mean of its divisors is an integer number (2660000).

Almost surely, 2230355468 is an apocalyptic number.

230355468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230355468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040000).

230355468 is an abundant number, since it is smaller than the sum of its proper divisors (535724532).

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

230355468 is a wasteful number, since it uses less digits than its factorization.

230355468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 230355468 is about 15177.4657963706. The cubic root of 230355468 is about 613.0080465046.

The spelling of 230355468 in words is "two hundred thirty million, three hundred fifty-five thousand, four hundred sixty-eight".