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18400038228 = 223211137150341
BaseRepresentation
bin10001001000101110…
…100100110101010100
31202111022220210022100
4101020232210311110
5300140402210403
612241452402100
71220653513215
oct211056446524
952438823270
1018400038228
117892384070
123696176330
1319730863b0
14c67a0140c
1572a5782a3
hex448ba4d54

18400038228 has 144 divisors (see below), whose sum is σ = 55413251712. Its totient is φ = 5074272000.

The previous prime is 18400038221. The next prime is 18400038229. The reversal of 18400038228 is 82283000481.

It is a happy number.

It is a super-2 number, since 2×184000382282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18400038192 and 18400038201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18400038221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340338 + ... + 390678.

It is an arithmetic number, because the mean of its divisors is an integer number (384814248).

Almost surely, 218400038228 is an apocalyptic number.

18400038228 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 18400038228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706625856).

18400038228 is an abundant number, since it is smaller than the sum of its proper divisors (37013213484).

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

18400038228 is a wasteful number, since it uses less digits than its factorization.

18400038228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50446 (or 50441 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18400038228 in words is "eighteen billion, four hundred million, thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 71 78 99 117 132 142 143 156 198 213 234 284 286 396 426 429 468 572 639 781 852 858 923 1278 1287 1562 1716 1846 2343 2556 2574 2769 3124 3692 4686 5148 5538 7029 8307 9372 10153 11076 14058 16614 20306 28116 30459 33228 40612 50341 60918 91377 100682 121836 151023 182754 201364 302046 365508 453069 553751 604092 654433 906138 1107502 1308866 1661253 1812276 1963299 2215004 2617732 3322506 3574211 3926598 4983759 5889897 6645012 7148422 7198763 7853196 9967518 10722633 11779794 14296844 14397526 19935036 21445266 21596289 23559588 28795052 32167899 39316321 42890532 43192578 46464743 64335798 64788867 78632642 86385156 92929486 117948963 128671596 129577734 139394229 157265284 185858972 235897926 259155468 278788458 353846889 418182687 471795852 511112173 557576916 707693778 836365374 1022224346 1415387556 1533336519 1672730748 2044448692 3066673038 4600009557 6133346076 9200019114 18400038228