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22014111141022 = 27111347233958713
BaseRepresentation
bin1010000000101100011110…
…10001100100110010011110
32212221112021020220121000111
411000112033101210302132
510341134344423003042
6114453050521520234
74431316124161540
oct500261721446236
985845236817014
1022014111141022
11701814a917a40
12257659534307a
13c38bca19b7a0
145616bac75690
15282986aec517
hex14058f464c9e

22014111141022 has 64 divisors (see below), whose sum is σ = 45279433672704. Its totient is φ = 7748712541440.

The previous prime is 22014111140999. The next prime is 22014111141041.

22014111141022 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×220141111410223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22014111140984 and 22014111141002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116885263 + ... + 117073450.

It is an arithmetic number, because the mean of its divisors is an integer number (707491151136).

Almost surely, 222014111141022 is an apocalyptic number.

22014111141022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22014111141022 is an abundant number, since it is smaller than the sum of its proper divisors (23265322531682).

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

22014111141022 is a wasteful number, since it uses less digits than its factorization.

22014111141022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233958793.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 2201411 and 1141022, that added together give a palindrome (3342433).

The spelling of 22014111141022 in words is "twenty-two trillion, fourteen billion, one hundred eleven million, one hundred forty-one thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 47 77 91 94 143 154 182 286 329 517 611 658 1001 1034 1222 2002 3619 4277 6721 7238 8554 13442 47047 94094 233958713 467917426 1637710991 2573545843 3041463269 3275421982 5147091686 6082926538 10996059511 18014820901 21290242883 21992119022 33456095959 36029641802 42580485766 66912191918 76972416577 120956654621 142948773643 153944833154 234192671713 241913309242 285897547286 468385343426 846696582347 1000641415501 1572436510073 1693393164694 2001282831002 3144873020146 11007055570511 22014111141022