Search a number
-
+
233557056 = 2632715711
BaseRepresentation
bin11011110101111…
…00110001000000
3121021110221001100
431322330301000
5434242311211
635101534400
75534126235
oct1572746100
9537427040
10233557056
1110a922967
1266274400
1339506355
142303978c
1515787156
hexdebcc40

233557056 has 84 divisors (see below), whose sum is σ = 678996864. Its totient is φ = 76742400.

The previous prime is 233557031. The next prime is 233557057. The reversal of 233557056 is 650755332.

233557056 is a `hidden beast` number, since 2 + 3 + 35 + 570 + 56 = 666.

233557056 is digitally balanced in base 2, 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 self number, because there is not a number n which added to its sum of digits gives 233557056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233557057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38041 + ... + 43751.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2233557056 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 233557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339498432).

233557056 is an abundant number, since it is smaller than the sum of its proper divisors (445439808).

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

233557056 is a wasteful number, since it uses less digits than its factorization.

233557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 233557056 is about 15282.5736052538. The cubic root of 233557056 is about 615.8349476274.

The spelling of 233557056 in words is "two hundred thirty-three million, five hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 5711 6816 10224 11422 13632 17133 20448 22844 34266 40896 45688 51399 68532 91376 102798 137064 182752 205596 274128 365504 405481 411192 548256 810962 822384 1096512 1216443 1621924 1644768 2432886 3243848 3289536 3649329 4865772 6487696 7298658 9731544 12975392 14597316 19463088 25950784 29194632 38926176 58389264 77852352 116778528 233557056