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22144034022 = 23113714960859
BaseRepresentation
bin10100100111111000…
…110010010011100110
32010011020220111000020
4110213320302103212
5330322333042042
614101155300010
71412515116645
oct244770622346
963136814006
1022144034022
119433803570
12435bbaa606
13211b942516
141100d5535c
158990d03ec
hex527e324e6

22144034022 has 64 divisors (see below), whose sum is σ = 49953888000. Its totient is φ = 6485028480.

The previous prime is 22144034009. The next prime is 22144034083. The reversal of 22144034022 is 22043044122.

It is a junction number, because it is equal to n+sod(n) for n = 22144033983 and 22144034001.

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, 333429 + ... + 394287.

It is an arithmetic number, because the mean of its divisors is an integer number (780529500).

Almost surely, 222144034022 is an apocalyptic number.

22144034022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144034022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976944000).

22144034022 is an abundant number, since it is smaller than the sum of its proper divisors (27809853978).

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

22144034022 is a wasteful number, since it uses less digits than its factorization.

22144034022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61061.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22144034022 its reverse (22043044122), we get a palindrome (44187078144).

The spelling of 22144034022 in words is "twenty-two billion, one hundred forty-four million, thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 149 222 298 407 447 814 894 1221 1639 2442 3278 4917 5513 9834 11026 16539 33078 60643 60859 121286 121718 181929 182577 363858 365154 669449 1338898 2008347 2251783 4016694 4503566 6755349 9067991 13510698 18135982 24769613 27203973 49539226 54407946 74308839 99747901 148617678 199495802 299243703 335515667 598487406 671031334 1006547001 2013094002 3690672337 7381344674 11072017011 22144034022