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235134400 = 2652179821
BaseRepresentation
bin11100000001111…
…01110111000000
3121101110001202111
432000331313000
5440143300100
635155425104
75553416014
oct1600756700
9541401674
10235134400
111107aaa56
12668b5194
13399392a7
142332a544
15159996ba
hexe03ddc0

235134400 has 84 divisors (see below), whose sum is σ = 582518520. Its totient is φ = 93414400.

The previous prime is 235134397. The next prime is 235134401. The reversal of 235134400 is 4431532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235134401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285990 + ... + 286810.

Almost surely, 2235134400 is an apocalyptic number.

235134400 is a gapful number since it is divisible by the number (20) 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 235134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291259260).

235134400 is an abundant number, since it is smaller than the sum of its proper divisors (347384120).

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

235134400 is a wasteful number, since it uses less digits than its factorization.

235134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235134400 is about 15334.0927348181. The cubic root of 235134400 is about 617.2181998616.

Adding to 235134400 its reverse (4431532), we get a palindrome (239565932).

The spelling of 235134400 in words is "two hundred thirty-five million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 179 200 320 358 400 716 800 821 895 1432 1600 1642 1790 2864 3284 3580 4105 4475 5728 6568 7160 8210 8950 11456 13136 14320 16420 17900 20525 26272 28640 32840 35800 41050 52544 57280 65680 71600 82100 131360 143200 146959 164200 262720 286400 293918 328400 587836 656800 734795 1175672 1313600 1469590 2351344 2939180 3673975 4702688 5878360 7347950 9405376 11756720 14695900 23513440 29391800 47026880 58783600 117567200 235134400