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235238136 = 23373074561
BaseRepresentation
bin11100000010101…
…11001011111000
3121101122100001120
432001113023320
5440210110021
635201545240
75554330320
oct1601271370
9541570046
10235238136
11110870991
1266945220
1339974583
1423356280
15159ba2c6
hexe0572f8

235238136 has 64 divisors (see below), whose sum is σ = 674446080. Its totient is φ = 66977280.

The previous prime is 235238117. The next prime is 235238153. The reversal of 235238136 is 631832532.

235238136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 235238097 and 235238106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49296 + ... + 53856.

It is an arithmetic number, because the mean of its divisors is an integer number (10538220).

Almost surely, 2235238136 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 235238136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337223040).

235238136 is an abundant number, since it is smaller than the sum of its proper divisors (439207944).

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

235238136 is a wasteful number, since it uses less digits than its factorization.

235238136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4880 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 235238136 is about 15337.4748899550. The cubic root of 235238136 is about 617.3089541049.

The spelling of 235238136 in words is "two hundred thirty-five million, two hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1228 1842 2149 2456 3684 4298 4561 6447 7368 8596 9122 12894 13683 17192 18244 25788 27366 31927 36488 51576 54732 63854 95781 109464 127708 191562 255416 383124 766248 1400227 2800454 4200681 5600908 8401362 9801589 11201816 16802724 19603178 29404767 33605448 39206356 58809534 78412712 117619068 235238136