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22022252430240 = 253571646192853
BaseRepresentation
bin1010000000111011101001…
…00010001000001110100000
32212222022021122011221021210
411000131310202020032200
510341303033110231430
6114500514425550120
74432024642041606
oct500356442101640
985868248157253
1022022252430240
117020648418037
122578087945340
13c398c6a8099a
14561c501db876
15282cb17062b0
hex1407748883a0

22022252430240 has 96 divisors (see below), whose sum is σ = 70347138857856. Its totient is φ = 5789887953920.

The previous prime is 22022252430229. The next prime is 22022252430257. The reversal of 22022252430240 is 4203425222022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22022252430198 and 22022252430207.

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, 323062347 + ... + 323130506.

It is an arithmetic number, because the mean of its divisors is an integer number (732782696436).

Almost surely, 222022252430240 is an apocalyptic number.

22022252430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022252430240 is an abundant number, since it is smaller than the sum of its proper divisors (48324886427616).

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

22022252430240 is a wasteful number, since it uses less digits than its factorization.

22022252430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646192942 (or 646192934 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22022252430240 its reverse (4203425222022), we get a palindrome (26225677652262).

The spelling of 22022252430240 in words is "twenty-two trillion, twenty-two billion, two hundred fifty-two million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 646192853 1292385706 1938578559 2584771412 3230964265 3877157118 5169542824 6461928530 7754314236 9692892795 10339085648 12923857060 15508628472 19385785590 20678171296 25847714120 31017256944 38771571180 45879692563 51695428240 62034513888 77543142360 91759385126 103390856480 137639077689 155086284720 183518770252 229398462815 275278155378 310172569440 367037540504 458796925630 550556310756 688195388445 734075081008 917593851260 1101112621512 1376390776890 1468150162016 1835187702520 2202225243024 2752781553780 3670375405040 4404450486048 5505563107560 7340750810080 11011126215120 22022252430240