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22058275428 = 223575361169
BaseRepresentation
bin10100100010110001…
…101001001001100100
32002221021112111100000
4110202301221021210
5330133404303203
614044453221300
71410424150620
oct244261511144
962837474300
1022058275428
11939a3598a2
124337331830
132106c46ca7
1410d37d0180
158917e04a3
hex522c69264

22058275428 has 144 divisors (see below), whose sum is σ = 67332021120. Its totient is φ = 6183350784.

The previous prime is 22058275427. The next prime is 22058275469. The reversal of 22058275428 is 82457285022.

22058275428 is a `hidden beast` number, since 2 + 20 + 5 + 82 + 7 + 542 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (22058275427) 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, 330028 + ... + 391196.

It is an arithmetic number, because the mean of its divisors is an integer number (467583480).

Almost surely, 222058275428 is an apocalyptic number.

22058275428 is a gapful number since it is divisible by the number (28) 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 22058275428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33666010560).

22058275428 is an abundant number, since it is smaller than the sum of its proper divisors (45273745692).

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

22058275428 is a wasteful number, since it uses less digits than its factorization.

22058275428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61248 (or 61234 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 22058275428 in words is "twenty-two billion, fifty-eight million, two hundred seventy-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 243 252 318 324 371 378 477 486 567 636 742 756 954 972 1113 1134 1431 1484 1701 1908 2226 2268 2862 3339 3402 4293 4452 5724 6678 6804 8586 10017 12879 13356 17172 20034 25758 30051 40068 51516 60102 61169 90153 120204 122338 180306 183507 244676 360612 367014 428183 550521 734028 856366 1101042 1284549 1651563 1712732 2202084 2569098 3241957 3303126 3853647 4954689 5138196 6483914 6606252 7707294 9725871 9909378 11560941 12967828 14864067 15414588 19451742 19818756 22693699 23121882 29177613 29728134 34682823 38903484 45387398 46243764 58355226 59456268 68081097 69365646 87532839 90774796 104048469 116710452 136162194 138731292 175065678 204243291 208096938 262598517 272324388 350131356 408486582 416193876 525197034 612729873 787795551 816973164 1050394068 1225459746 1575591102 1838189619 2450919492 3151182204 3676379238 5514568857 7352758476 11029137714 22058275428