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235313925 = 35272115821
BaseRepresentation
bin11100000011010…
…01101100000101
3121101210012000120
432001221230011
5440220021200
635203332153
75555064300
oct1601515405
9541705016
10235313925
11110912920
1266981059
133999cc12
1423375b37
15159d29a0
hexe069b05

235313925 has 72 divisors (see below), whose sum is σ = 493798752. Its totient is φ = 97776000.

The previous prime is 235313921. The next prime is 235313959. The reversal of 235313925 is 529313532.

It is a happy number.

It is not a de Polignac number, because 235313925 - 22 = 235313921 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235313921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37515 + ... + 43335.

It is an arithmetic number, because the mean of its divisors is an integer number (6858316).

Almost surely, 2235313925 is an apocalyptic number.

235313925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

235313925 is an abundant number, since it is smaller than the sum of its proper divisors (258484827).

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

235313925 is a wasteful number, since it uses less digits than its factorization.

235313925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5847 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 235313925 is about 15339.9454040749. The cubic root of 235313925 is about 617.3752418330.

The spelling of 235313925 in words is "two hundred thirty-five million, three hundred thirteen thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 735 825 1155 1225 1617 1925 2695 3675 5775 5821 8085 13475 17463 29105 40425 40747 64031 87315 122241 145525 192093 203735 285229 320155 436575 448217 611205 855687 960465 1018675 1344651 1426145 1600775 2241085 3056025 3137519 4278435 4802325 6723255 7130725 9412557 11205425 15687595 21392175 33616275 47062785 78437975 235313925