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235113408 = 2633359379
BaseRepresentation
bin11100000001110…
…00101111000000
3121101101222222000
432000320233000
5440142112113
635155144000
75553300555
oct1600705700
9541358860
10235113408
11110796202
12668a5000
133992c87a
1423322a2c
1515993373
hexe038bc0

235113408 has 112 divisors (see below), whose sum is σ = 694944000. Its totient is φ = 77946624.

The previous prime is 235113397. The next prime is 235113409. The reversal of 235113408 is 804311532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235113409) 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 15 ways as a sum of consecutive naturals, for example, 620163 + ... + 620541.

Almost surely, 2235113408 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 235113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472000).

235113408 is an abundant number, since it is smaller than the sum of its proper divisors (459830592).

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

235113408 is a wasteful number, since it uses less digits than its factorization.

235113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 235113408 is about 15333.4082317011. The cubic root of 235113408 is about 617.1998316006.

The spelling of 235113408 in words is "two hundred thirty-five million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 359 379 432 576 718 758 864 1077 1137 1436 1516 1728 2154 2274 2872 3032 3231 3411 4308 4548 5744 6064 6462 6822 8616 9096 9693 10233 11488 12128 12924 13644 17232 18192 19386 20466 22976 24256 25848 27288 34464 36384 38772 40932 51696 54576 68928 72768 77544 81864 103392 109152 136061 155088 163728 206784 218304 272122 310176 327456 408183 544244 620352 654912 816366 1088488 1224549 1632732 2176976 2449098 3265464 3673647 4353952 4898196 6530928 7347294 8707904 9796392 13061856 14694588 19592784 26123712 29389176 39185568 58778352 78371136 117556704 235113408