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22422420240 = 2435118493341
BaseRepresentation
bin10100111000011110…
…101111101100010000
32010212122201222002220
4110320132233230100
5331410114421430
614144542141040
71422435266403
oct247036575420
963778658086
1022422420240
119566965220
124419281780
1321645134ac
141129cddd3a
158b3770110
hex5387afb10

22422420240 has 80 divisors (see below), whose sum is σ = 75828557376. Its totient is φ = 5435737600.

The previous prime is 22422420221. The next prime is 22422420253. The reversal of 22422420240 is 4202422422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22422420240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4244031 + ... + 4249310.

Almost surely, 222422420240 is an apocalyptic number.

22422420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422420240 is an abundant number, since it is smaller than the sum of its proper divisors (53406137136).

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

22422420240 is a wasteful number, since it uses less digits than its factorization.

22422420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493368 (or 8493362 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22422420240 its reverse (4202422422), we get a palindrome (26624842662).

The spelling of 22422420240 in words is "twenty-two billion, four hundred twenty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8493341 16986682 25480023 33973364 42466705 50960046 67946728 84933410 93426751 101920092 127400115 135893456 169866820 186853502 203840184 254800230 280280253 339733640 373707004 407680368 467133755 509600460 560560506 679467280 747414008 934267510 1019200920 1121121012 1401401265 1494828016 1868535020 2038401840 2242242024 2802802530 3737070040 4484484048 5605605060 7474140080 11211210120 22422420240