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230291424 = 25341141197
BaseRepresentation
bin11011011100111…
…11011111100000
3121001100000110000
431232133133200
5432423311144
634503540000
75464305366
oct1556373740
9531300400
10230291424
11108aa23a0
126515a600
1338931b1c
1422829636
151533e769
hexdb9f7e0

230291424 has 240 divisors, whose sum is σ = 760714416. Its totient is φ = 67737600.

The previous prime is 230291423. The next prime is 230291437. The reversal of 230291424 is 424192032.

230291424 is a `hidden beast` number, since 230 + 2 + 9 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230291423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168894 + ... + 1169090.

Almost surely, 2230291424 is an apocalyptic number.

230291424 is a gapful number since it is divisible by the number (24) 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 230291424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380357208).

230291424 is an abundant number, since it is smaller than the sum of its proper divisors (530422992).

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

230291424 is a wasteful number, since it uses less digits than its factorization.

230291424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230291424 is about 15175.3558113146. The cubic root of 230291424 is about 612.9512312318.

The spelling of 230291424 in words is "two hundred thirty million, two hundred ninety-one thousand, four hundred twenty-four".