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235152288 = 2533759659
BaseRepresentation
bin11100000010000…
…10001110100000
3121101110222022000
432001002032200
5440144333123
635200044000
75553522120
oct1601021640
9541428260
10235152288
11110812438
1266903600
1339944487
1423332c80
151599eb43
hexe0423a0

235152288 has 192 divisors, whose sum is σ = 798336000. Its totient is φ = 65947392.

The previous prime is 235152283. The next prime is 235152289. The reversal of 235152288 is 882251532.

235152288 is a `hidden beast` number, since 2 + 3 + 51 + 522 + 88 = 666.

235152288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235152283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356503 + ... + 357161.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2235152288 is an apocalyptic number.

235152288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235152288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

235152288 is an abundant number, since it is smaller than the sum of its proper divisors (563183712).

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

235152288 is a wasteful number, since it uses less digits than its factorization.

235152288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 235152288 is about 15334.6759991856. The cubic root of 235152288 is about 617.2338512212.

The spelling of 235152288 in words is "two hundred thirty-five million, one hundred fifty-two thousand, two hundred eighty-eight".