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22122102002 = 271113195631033
BaseRepresentation
bin10100100110100101…
…000111110011110010
32010002201122012221012
4110212211013303302
5330301224231002
614055053230522
71412130523130
oct244645076362
963081565835
1022122102002
119422393730
124354792442
1321172338b0
1410dc086750
158971ebd52
hex526947cf2

22122102002 has 128 divisors (see below), whose sum is σ = 47027312640. Its totient is φ = 7516592640.

The previous prime is 22122102001. The next prime is 22122102049. The reversal of 22122102002 is 20020122122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22122102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21414878 + ... + 21415910.

It is an arithmetic number, because the mean of its divisors is an integer number (367400880).

Almost surely, 222122102002 is an apocalyptic number.

22122102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22122102002 is an abundant number, since it is smaller than the sum of its proper divisors (24905210638).

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

22122102002 is a wasteful number, since it uses less digits than its factorization.

22122102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22122102002 its reverse (20020122122), we get a palindrome (42142224124).

The spelling of 22122102002 in words is "twenty-two billion, one hundred twenty-two million, one hundred two thousand, two".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 563 1001 1033 1126 1463 1729 2002 2066 2717 2926 3458 3941 5434 6193 7231 7319 7882 10697 11363 12386 13429 14462 14638 19019 19627 21394 22726 26858 38038 39254 43351 51233 74879 79541 80509 86702 94003 102466 117667 137389 139061 147719 149758 159082 161018 188006 215897 235334 255151 274778 278122 295438 431794 510302 563563 581579 823669 973427 1034033 1127126 1163158 1511279 1529671 1647338 1786057 1946854 2068066 2806661 3022558 3059342 3572114 4071053 5613322 6397369 7560527 8142106 10707697 11050001 12794738 15121054 19646627 21415394 22100002 39293254 44781583 52923689 77350007 83165797 89563166 105847378 121550011 143650013 154700014 166331594 243100022 287300026 582160579 850850077 1005550091 1164321158 1580150143 1701700154 2011100182 3160300286 11061051001 22122102002