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235370912 = 2572374057
BaseRepresentation
bin11100000011101…
…11100110100000
3121101220002012012
432001313212200
5440223332122
635204452052
75555422400
oct1601674640
9541802165
10235370912
11110951717
12669aa028
13399bcb3a
142338c800
15159e47e2
hexe0779a0

235370912 has 72 divisors (see below), whose sum is σ = 553746564. Its totient is φ = 98122752.

The previous prime is 235370909. The next prime is 235370921. The reversal of 235370912 is 219073532.

235370912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 222725776 + 12645136 = 14924^2 + 3556^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55988 + ... + 60044.

Almost surely, 2235370912 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 235370912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276873282).

235370912 is an abundant number, since it is smaller than the sum of its proper divisors (318375652).

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

235370912 is a wasteful number, since it uses less digits than its factorization.

235370912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 235370912 is about 15341.8027623875. The cubic root of 235370912 is about 617.4250752958.

The spelling of 235370912 in words is "two hundred thirty-five million, three hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4057 4144 7252 8114 8288 14504 16228 28399 29008 32456 56798 58016 64912 113596 129824 150109 198793 227192 300218 397586 454384 600436 795172 908768 1050763 1200872 1590344 2101526 2401744 3180688 4203052 4803488 6361376 7355341 8406104 14710682 16812208 29421364 33624416 58842728 117685456 235370912