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22014041022 = 2321972438887
BaseRepresentation
bin10100100000001000…
…111001101110111110
32002211012022011010200
4110200020321232332
5330041043303042
614040233144330
71406346155421
oct244010715676
962735264120
1022014041022
119377396936
12432455b0a6
1320caa29c9c
1410cb9979b8
1588c9a3c4c
hex520239bbe

22014041022 has 48 divisors (see below), whose sum is σ = 50220044160. Its totient is φ = 6950060496.

The previous prime is 22014041017. The next prime is 22014041029.

22014041022 is a `hidden beast` number, since 220 + 14 + 0 + 410 + 22 = 666.

22014041022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22014040986 and 22014041004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22014041029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472663 + ... + 2481549.

It is an arithmetic number, because the mean of its divisors is an integer number (1046250920).

Almost surely, 222014041022 is an apocalyptic number.

22014041022 is an abundant number, since it is smaller than the sum of its proper divisors (28206003138).

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

22014041022 is a wasteful number, since it uses less digits than its factorization.

22014041022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16157 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 220140 and 41022, that added together give a palindrome (261162).

The spelling of 22014041022 in words is "twenty-two billion, fourteen million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 7243 8887 14486 17774 21729 26661 43458 53322 65187 79983 130374 137617 159966 168853 275234 337706 412851 506559 825702 1013118 1238553 1519677 2477106 3039354 64368541 128737082 193105623 386211246 579316869 1158633738 1223002279 2446004558 3669006837 7338013674 11007020511 22014041022