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230091456 = 2637237661
BaseRepresentation
bin11011011011011…
…10101011000000
3121000221212010210
431231232223000
5432400411311
634455354120
75462513400
oct1555565300
9530855123
10230091456
11108976131
1265082940
1338891aba
14227b6800
15153003a6
hexdb6eac0

230091456 has 168 divisors, whose sum is σ = 728417136. Its totient is φ = 63866880.

The previous prime is 230091443. The next prime is 230091457. The reversal of 230091456 is 654190032.

230091456 is digitally balanced in base 3, 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 (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230091457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347766 + ... + 348426.

Almost surely, 2230091456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364208568).

230091456 is an abundant number, since it is smaller than the sum of its proper divisors (498325680).

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

230091456 is a wasteful number, since it uses less digits than its factorization.

230091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 230091456 is about 15168.7658034528. The cubic root of 230091456 is about 612.7737660533.

The spelling of 230091456 in words is "two hundred thirty million, ninety-one thousand, four hundred fifty-six".