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228538566 = 23237409839
BaseRepresentation
bin11011001111100…
…11100011000110
3120221000221222100
431213303203012
5432001213231
634402212530
75443355124
oct1547634306
9527027870
10228538566
11108005453
1264654146
133846a029
14224d0914
15150e51e6
hexd9f38c6

228538566 has 48 divisors (see below), whose sum is σ = 510400800. Its totient is φ = 73851264.

The previous prime is 228538559. The next prime is 228538579. The reversal of 228538566 is 665835822.

228538566 is a `hidden beast` number, since 2 + 2 + 85 + 3 + 8 + 566 = 666.

It is a super-2 number, since 2×2285385662 = 104459752298672712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271975 + ... + 272813.

It is an arithmetic number, because the mean of its divisors is an integer number (10633350).

Almost surely, 2228538566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228538566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255200400).

228538566 is an abundant number, since it is smaller than the sum of its proper divisors (281862234).

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

228538566 is a wasteful number, since it uses less digits than its factorization.

228538566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1290 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 228538566 is about 15117.4920539089. The cubic root of 228538566 is about 611.3921139447.

The spelling of 228538566 in words is "two hundred twenty-eight million, five hundred thirty-eight thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 409 666 818 839 1227 1678 2454 2517 3681 5034 7362 7551 15102 15133 30266 31043 45399 62086 90798 93129 136197 186258 272394 279387 343151 558774 686302 1029453 2058906 3088359 6176718 12696587 25393174 38089761 76179522 114269283 228538566