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233136128 = 213149191
BaseRepresentation
bin11011110010101…
…10000000000000
3121020200112122102
431321112000000
5434140324003
635044525532
75530424111
oct1571260000
9536615572
10233136128
1110a665695
12660b08a8
13393b9894
1422d6a208
1515702588
hexde56000

233136128 has 56 divisors (see below), whose sum is σ = 471830400. Its totient is φ = 115179520.

The previous prime is 233136109. The next prime is 233136131. The reversal of 233136128 is 821631332.

It is a self number, because there is not a number n which added to its sum of digits gives 233136128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1220513 + ... + 1220703.

Almost surely, 2233136128 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 233136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

233136128 is an abundant number, since it is smaller than the sum of its proper divisors (238694272).

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

233136128 is an equidigital number, since it uses as much as digits as its factorization.

233136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 233136128 is about 15268.7958922765. The cubic root of 233136128 is about 615.4647624843.

The spelling of 233136128 in words is "two hundred thirty-three million, one hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 191 256 298 382 512 596 764 1024 1192 1528 2048 2384 3056 4096 4768 6112 8192 9536 12224 19072 24448 28459 38144 48896 56918 76288 97792 113836 152576 195584 227672 305152 391168 455344 610304 782336 910688 1220608 1564672 1821376 3642752 7285504 14571008 29142016 58284032 116568064 233136128