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228257568 = 25337114773
BaseRepresentation
bin11011001101011…
…10111100100000
3120220111200112000
431212232330200
5431413220233
634352204000
75441104650
oct1546567440
9526450460
10228257568
11107933320
1264539600
133839c166
142245a360
151508bd13
hexd9aef20

228257568 has 384 divisors, whose sum is σ = 859299840. Its totient is φ = 57231360.

The previous prime is 228257563. The next prime is 228257569. The reversal of 228257568 is 865752822.

228257568 is a `hidden beast` number, since 2 + 2 + 82 + 5 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228257563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3126780 + ... + 3126852.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2228257568 is an apocalyptic number.

228257568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228257568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429649920).

228257568 is an abundant number, since it is smaller than the sum of its proper divisors (631042272).

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

228257568 is a wasteful number, since it uses less digits than its factorization.

228257568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 228257568 is about 15108.1953919057. The cubic root of 228257568 is about 611.1414335392.

The spelling of 228257568 in words is "two hundred twenty-eight million, two hundred fifty-seven thousand, five hundred sixty-eight".