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228538816 = 2611476907
BaseRepresentation
bin11011001111100…
…11100111000000
3120221000222022121
431213303213000
5432001220231
634402214024
75443355632
oct1547634700
9527028277
10228538816
11108005660
1264654314
133846a18c
14224d0a52
15150e5311
hexd9f39c0

228538816 has 56 divisors (see below), whose sum is σ = 505334016. Its totient is φ = 101656320.

The previous prime is 228538759. The next prime is 228538819. The reversal of 228538816 is 618835822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228538819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29635 + ... + 36541.

Almost surely, 2228538816 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 228538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252667008).

228538816 is an abundant number, since it is smaller than the sum of its proper divisors (276795200).

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

228538816 is a wasteful number, since it uses less digits than its factorization.

228538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6967 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 228538816 is about 15117.5003224740. The cubic root of 228538816 is about 611.3923368800.

The spelling of 228538816 in words is "two hundred twenty-eight million, five hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 4136 6907 8272 13814 16544 27628 33088 55256 75977 110512 151954 221024 303908 324629 442048 607816 649258 1215632 1298516 2431264 2597032 3570919 4862528 5194064 7141838 10388128 14283676 20776256 28567352 57134704 114269408 228538816