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235267136 = 2613282773
BaseRepresentation
bin11100000010111…
…10010001000000
3121101200210211122
432001132101000
5440212022021
635202331412
75554511006
oct1601362100
9541623748
10235267136
11110890755
1266959b68
1339984830
1423362a76
15159c3bab
hexe05e440

235267136 has 28 divisors (see below), whose sum is σ = 502772172. Its totient is φ = 108584448.

The previous prime is 235267133. The next prime is 235267163. The reversal of 235267136 is 631762532.

It can be written as a sum of positive squares in 2 ways, for example, as 59969536 + 175297600 = 7744^2 + 13240^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 235267096 and 235267105.

It is not an unprimeable number, because it can be changed into a prime (235267133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140555 + ... + 142218.

It is an arithmetic number, because the mean of its divisors is an integer number (17956149).

Almost surely, 2235267136 is an apocalyptic number.

235267136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

235267136 is an abundant number, since it is smaller than the sum of its proper divisors (267505036).

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

235267136 is a wasteful number, since it uses less digits than its factorization.

235267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282798 (or 282788 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 235267136 is about 15338.4202576406. The cubic root of 235267136 is about 617.3343202074.

The spelling of 235267136 in words is "two hundred thirty-five million, two hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 282773 565546 1131092 2262184 3676049 4524368 7352098 9048736 14704196 18097472 29408392 58816784 117633568 235267136