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235234080 = 253252943131
BaseRepresentation
bin11100000010101…
…10001100100000
3121101122010111100
432001112030200
5440204442310
635201514400
75554312434
oct1601261440
9541563440
10235234080
11110868934
1266942a00
1339972783
14233549c4
15159b8ec0
hexe056320

235234080 has 288 divisors, whose sum is σ = 856215360. Its totient is φ = 58705920.

The previous prime is 235234061. The next prime is 235234081. The reversal of 235234080 is 80432532.

235234080 is a `hidden beast` number, since 23 + 523 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (235234081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795615 + ... + 1795745.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2235234080 is an apocalyptic number.

235234080 is a gapful number since it is divisible by the number (20) 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 235234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

235234080 is an abundant number, since it is smaller than the sum of its proper divisors (620981280).

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

235234080 is a wasteful number, since it uses less digits than its factorization.

235234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 235234080 is about 15337.3426642297. The cubic root of 235234080 is about 617.3054061831.

The spelling of 235234080 in words is "two hundred thirty-five million, two hundred thirty-four thousand, eighty".