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235226024 = 231117315451
BaseRepresentation
bin11100000010101…
…00001110101000
3121101121201102222
432001110032220
5440204213044
635201413212
75554250105
oct1601241650
9541551388
10235226024
11110862880
126693a208
133996bbc7
1423351aac
15159b68ee
hexe0543a8

235226024 has 32 divisors (see below), whose sum is σ = 483956640. Its totient is φ = 106296000.

The previous prime is 235226011. The next prime is 235226027. The reversal of 235226024 is 420622532.

It is a junction number, because it is equal to n+sod(n) for n = 235225984 and 235226002.

It is not an unprimeable number, because it can be changed into a prime (235226027) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7499 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (15123645).

Almost surely, 2235226024 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 235226024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241978320).

235226024 is an abundant number, since it is smaller than the sum of its proper divisors (248730616).

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

235226024 is a wasteful number, since it uses less digits than its factorization.

235226024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15641 (or 15637 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 235226024 is about 15337.0800350001. The cubic root of 235226024 is about 617.2983592037.

Adding to 235226024 its reverse (420622532), we get a palindrome (655848556).

The spelling of 235226024 in words is "two hundred thirty-five million, two hundred twenty-six thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 173 346 692 1384 1903 3806 7612 15224 15451 30902 61804 123608 169961 339922 679844 1359688 2673023 5346046 10692092 21384184 29403253 58806506 117613012 235226024