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18402228 = 22341317257
BaseRepresentation
bin100011000110…
…0101110110100
31021121221010000
41012030232310
514202332403
61454231300
7312262545
oct106145664
937557100
1018402228
11a429959
1261b5530
133a740c0
1426304cc
1519377a3
hex118cbb4

18402228 has 120 divisors (see below), whose sum is σ = 55068552. Its totient is φ = 5308416.

The previous prime is 18402227. The next prime is 18402229. The reversal of 18402228 is 82220481.

It is an interprime number because it is at equal distance from previous prime (18402227) and next prime (18402229).

It can be written as a sum of positive squares in 4 ways, for example, as 7193124 + 11209104 = 2682^2 + 3348^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18402227) 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, 71476 + ... + 71732.

Almost surely, 218402228 is an apocalyptic number.

18402228 is a gapful number since it is divisible by the number (18) 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 18402228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27534276).

18402228 is an abundant number, since it is smaller than the sum of its proper divisors (36666324).

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

18402228 is a wasteful number, since it uses less digits than its factorization.

18402228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18402228 is about 4289.7818126334. The cubic root of 18402228 is about 264.0118796307.

The spelling of 18402228 in words is "eighteen million, four hundred two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 257 306 324 351 442 459 468 514 612 663 702 771 884 918 1028 1053 1326 1377 1404 1542 1836 1989 2106 2313 2652 2754 3084 3341 3978 4212 4369 4626 5508 5967 6682 6939 7956 8738 9252 10023 11934 13107 13364 13878 17476 17901 20046 20817 23868 26214 27756 30069 35802 39321 40092 41634 52428 56797 60138 71604 78642 83268 90207 113594 117963 120276 157284 170391 180414 227188 235926 270621 340782 353889 360828 471852 511173 541242 681564 707778 1022346 1082484 1415556 1533519 2044692 3067038 4600557 6134076 9201114 18402228