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228505888 = 25131134861
BaseRepresentation
bin11011001111010…
…11100100100000
3120220222022011001
431213223210200
5431444142023
634401401344
75443160632
oct1547534440
9526868131
10228505888
11107a92946
1264639254
13384581b0
14224c2a52
15150da6ad
hexd9eb920

228505888 has 48 divisors (see below), whose sum is σ = 488864376. Its totient is φ = 104509440.

The previous prime is 228505873. The next prime is 228505919. The reversal of 228505888 is 888505822.

228505888 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 4 ways, for example, as 141419664 + 87086224 = 11892^2 + 9332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44578 + ... + 49438.

Almost surely, 2228505888 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 228505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244432188).

228505888 is an abundant number, since it is smaller than the sum of its proper divisors (260358488).

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

228505888 is a wasteful number, since it uses less digits than its factorization.

228505888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The square root of 228505888 is about 15116.4112143061. The cubic root of 228505888 is about 611.3629722201.

The spelling of 228505888 in words is "two hundred twenty-eight million, five hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1808 2938 3616 4861 5876 9722 11752 19444 23504 38888 47008 63193 77776 126386 155552 252772 505544 549293 1011088 1098586 2022176 2197172 4394344 7140809 8788688 14281618 17577376 28563236 57126472 114252944 228505888