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228568068 = 22341973581
BaseRepresentation
bin11011001111110…
…10110000000100
3120221002110110000
431213322300010
5432003134233
634403001300
75443540131
oct1547726004
9527073400
10228568068
11108025633
1264669230
133847a5a1
14224db588
15150edd13
hexd9fac04

228568068 has 60 divisors (see below), whose sum is σ = 600722892. Its totient is φ = 75781440.

The previous prime is 228568051. The next prime is 228568069. The reversal of 228568068 is 860865822.

228568068 is a `hidden beast` number, since 2 + 28 + 568 + 0 + 68 = 666.

228568068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 12830724 = 14688^2 + 3582^2 .

It is not an unprimeable number, because it can be changed into a prime (228568069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62038 + ... + 65618.

Almost surely, 2228568068 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 228568068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300361446).

228568068 is an abundant number, since it is smaller than the sum of its proper divisors (372154824).

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

228568068 is a wasteful number, since it uses less digits than its factorization.

228568068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 228568068 is about 15118.4677795073. The cubic root of 228568068 is about 611.4184209766.

The spelling of 228568068 in words is "two hundred twenty-eight million, five hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 3581 5319 7092 7162 10638 10743 14324 15957 21276 21486 31914 32229 42972 63828 64458 96687 128916 193374 290061 386748 580122 705457 1160244 1410914 2116371 2821828 4232742 6349113 8465484 12698226 19047339 25396452 38094678 57142017 76189356 114284034 228568068