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228531618 = 23471371471
BaseRepresentation
bin11011001111100…
…01110110100010
3120221000121110000
431213301312202
5432001002433
634402120430
75443325640
oct1547616642
9527017400
10228531618
11108000207
1264650116
1338466b13
14224cc190
15150e3113
hexd9f1da2

228531618 has 80 divisors (see below), whose sum is σ = 589906944. Its totient is φ = 64774080.

The previous prime is 228531617. The next prime is 228531631. The reversal of 228531618 is 816135822.

It is a happy number.

228531618 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 31 + 618 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228531617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154623 + ... + 156093.

Almost surely, 2228531618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228531618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294953472).

228531618 is an abundant number, since it is smaller than the sum of its proper divisors (361375326).

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

228531618 is a wasteful number, since it uses less digits than its factorization.

228531618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 228531618 is about 15117.2622521408. The cubic root of 228531618 is about 611.3859180605.

The spelling of 228531618 in words is "two hundred twenty-eight million, five hundred thirty-one thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 137 162 189 274 378 411 567 822 959 1134 1233 1471 1918 2466 2877 2942 3699 4413 5754 7398 8631 8826 10297 11097 13239 17262 20594 22194 25893 26478 30891 39717 51786 61782 77679 79434 92673 119151 155358 185346 201527 238302 278019 403054 556038 604581 834057 1209162 1410689 1668114 1813743 2821378 3627486 4232067 5441229 8464134 10882458 12696201 16323687 25392402 32647374 38088603 76177206 114265809 228531618