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235270464 = 263112131941
BaseRepresentation
bin11100000010111…
…11000101000000
3121101200222101220
432001133011000
5440212123324
635202355040
75554523502
oct1601370500
9541628356
10235270464
11110893200
126695ba80
13399861c0
1423363d72
15159c4b79
hexe05f140

235270464 has 336 divisors, whose sum is σ = 794552640. Its totient is φ = 60825600.

The previous prime is 235270411. The next prime is 235270487. The reversal of 235270464 is 464072532.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5738284 + ... + 5738324.

It is an arithmetic number, because the mean of its divisors is an integer number (2364740).

Almost surely, 2235270464 is an apocalyptic number.

235270464 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 235270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397276320).

235270464 is an abundant number, since it is smaller than the sum of its proper divisors (559282176).

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

235270464 is a wasteful number, since it uses less digits than its factorization.

235270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 235270464 is about 15338.5287430053. The cubic root of 235270464 is about 617.3372310531.

The spelling of 235270464 in words is "two hundred thirty-five million, two hundred seventy thousand, four hundred sixty-four".