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22042240244420 = 225111011969750363
BaseRepresentation
bin1010000001100000110111…
…11001100101101011000100
32220001012212121210002201212
411000300123321211223010
510342120002000310140
6114514022042110552
74433333155463414
oct500603371455304
986035777702655
1022042240244420
117029074a83730
12257bb257ab458
13c3b760a7cb76
14562bc8a30644
15283581366765
hex140c1be65ac4

22042240244420 has 96 divisors (see below), whose sum is σ = 51000338261376. Its totient is φ = 7935439616000.

The previous prime is 22042240244417. The next prime is 22042240244459. The reversal of 22042240244420 is 2444204224022.

It is a super-2 number, since 2×220422402444202 (a number of 27 digits) contains 22 as substring.

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, 437642159 + ... + 437692521.

It is an arithmetic number, because the mean of its divisors is an integer number (531253523556).

Almost surely, 222042240244420 is an apocalyptic number.

22042240244420 is a gapful number since it is divisible by the number (20) 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 22042240244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25500169130688).

22042240244420 is an abundant number, since it is smaller than the sum of its proper divisors (28958098016956).

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

22042240244420 is a wasteful number, since it uses less digits than its factorization.

22042240244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70181 (or 70179 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 22042240244420 its reverse (2444204224022), we get a palindrome (24486444468442).

The spelling of 22042240244420 in words is "twenty-two trillion, forty-two billion, two hundred forty million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 19697 22220 39394 50363 78788 98485 100726 196970 201452 216667 251815 393940 433334 503630 553993 866668 1007260 1083335 1107986 1989397 2166670 2215972 2769965 3978794 4333340 5086663 5539930 7957588 9946985 10173326 11079860 19893970 20346652 21883367 25433315 39787940 43766734 50866630 55953293 87533468 101733260 109416835 111906586 218833670 223813172 279766465 437667340 559532930 992000011 1119065860 1984000022 3968000044 4960000055 9920000110 10912000121 19840000220 21824000242 43648000484 54560000605 100192001111 109120001210 200384002222 218240002420 400768004444 500960005555 1001920011110 1102112012221 2003840022220 2204224024442 4408448048884 5510560061105 11021120122210 22042240244420