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228014688 = 25311263821
BaseRepresentation
bin11011001011100…
…11101001100000
3120220001100100110
431211303221200
5431332432223
634343051320
75436043566
oct1545635140
9526040313
10228014688
111077878a0
1264440b40
1338315745
14223d5a36
151503ed93
hexd973a60

228014688 has 96 divisors (see below), whose sum is σ = 656232192. Its totient is φ = 68748800.

The previous prime is 228014629. The next prime is 228014701. The reversal of 228014688 is 886410822.

228014688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 277318 + ... + 278138.

It is an arithmetic number, because the mean of its divisors is an integer number (6835752).

Almost surely, 2228014688 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 228014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328116096).

228014688 is an abundant number, since it is smaller than the sum of its proper divisors (428217504).

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

228014688 is a wasteful number, since it uses less digits than its factorization.

228014688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 228014688 is about 15100.1552309902. The cubic root of 228014688 is about 610.9245926674.

The spelling of 228014688 in words is "two hundred twenty-eight million, fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 263 264 352 526 528 789 821 1052 1056 1578 1642 2104 2463 2893 3156 3284 4208 4926 5786 6312 6568 8416 8679 9031 9852 11572 12624 13136 17358 18062 19704 23144 25248 26272 27093 34716 36124 39408 46288 54186 69432 72248 78816 92576 108372 138864 144496 215923 216744 277728 288992 431846 433488 647769 863692 866976 1295538 1727384 2375153 2591076 3454768 4750306 5182152 6909536 7125459 9500612 10364304 14250918 19001224 20728608 28501836 38002448 57003672 76004896 114007344 228014688