Search a number
-
+
235220752 = 24133133613
BaseRepresentation
bin11100000010100…
…10111100010000
3121101121110012201
432001102330100
5440204031002
635201332544
75554225534
oct1601227420
9541543181
10235220752
11110859918
1266937154
13399696a0
142334dbc4
15159b5087
hexe052f10

235220752 has 40 divisors (see below), whose sum is σ = 492501464. Its totient is φ = 108186624.

The previous prime is 235220743. The next prime is 235220753. The reversal of 235220752 is 257022532.

It can be written as a sum of positive squares in 4 ways, for example, as 61402896 + 173817856 = 7836^2 + 13184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235220752.

It is not an unprimeable number, because it can be changed into a prime (235220753) 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, 63298 + ... + 66910.

Almost surely, 2235220752 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 235220752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246250732).

235220752 is an abundant number, since it is smaller than the sum of its proper divisors (257280712).

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

235220752 is a wasteful number, since it uses less digits than its factorization.

235220752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 235220752 is about 15336.9081629903. The cubic root of 235220752 is about 617.2937474390.

It can be divided in two parts, 2352 and 20752, that added together give a square (23104 = 1522).

The spelling of 235220752 in words is "two hundred thirty-five million, two hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 626 1252 2504 3613 4069 5008 7226 8138 14452 16276 28904 32552 46969 57808 65104 93938 187876 375752 751504 1130869 2261738 4523476 9046952 14701297 18093904 29402594 58805188 117610376 235220752