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235295424 = 2632713672
BaseRepresentation
bin11100000011001…
…01001011000000
3121101202020122100
432001211023000
5440213423144
635203110400
75554656330
oct1601451300
9541666570
10235295424
111108aaa31
1266972400
1339994680
142336d0c0
15159cc269
hexe0652c0

235295424 has 252 divisors, whose sum is σ = 842643984. Its totient is φ = 61129728.

The previous prime is 235295393. The next prime is 235295471. The reversal of 235295424 is 424592532.

235295424 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 (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3511839 + ... + 3511905.

Almost surely, 2235295424 is an apocalyptic number.

235295424 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 235295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421321992).

235295424 is an abundant number, since it is smaller than the sum of its proper divisors (607348560).

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

235295424 is a wasteful number, since it uses less digits than its factorization.

235295424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 92 counting only the distinct ones).

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

The square root of 235295424 is about 15339.3423587845. The cubic root of 235295424 is about 617.3590615202.

The spelling of 235295424 in words is "two hundred thirty-five million, two hundred ninety-five thousand, four hundred twenty-four".