Search a number
-
+
22440202251220 = 225131925118097813
BaseRepresentation
bin1010001101000110001000…
…10010001010101111010100
32221110021002021111200122001
411012203010102022233110
510420130013234014340
6115420515301045044
74504152062643325
oct506430422125724
987407067450561
1022440202251220
117171922179626
12262508a3b6784
13c6a143100870
1457817c28844c
1528dac3d9529a
hex1468c448abd4

22440202251220 has 96 divisors (see below), whose sum is σ = 53633233745280. Its totient is φ = 7818254784000.

The previous prime is 22440202251179. The next prime is 22440202251251. The reversal of 22440202251220 is 2215220204422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7808967 + ... + 10288846.

It is an arithmetic number, because the mean of its divisors is an integer number (558679518180).

Almost surely, 222440202251220 is an apocalyptic number.

22440202251220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22440202251220 is an abundant number, since it is smaller than the sum of its proper divisors (31193031494060).

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

22440202251220 is a wasteful number, since it uses less digits than its factorization.

22440202251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098105 (or 18098103 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 22440202251220 its reverse (2215220204422), we get a palindrome (24655422455642).

The spelling of 22440202251220 in words is "twenty-two trillion, four hundred forty billion, two hundred two million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 251 260 380 494 502 988 1004 1235 1255 2470 2510 3263 4769 4940 5020 6526 9538 13052 16315 19076 23845 32630 47690 61997 65260 95380 123994 247988 309985 619970 1239940 18097813 36195626 72391252 90489065 180978130 235271569 343858447 361956260 470543138 687716894 941086276 1176357845 1375433788 1719292235 2352715690 3438584470 4470159811 4542551063 4705431380 6877168940 8940319622 9085102126 17880639244 18170204252 22350799055 22712755315 44701598110 45425510630 59053163819 86308470197 89403196220 90851021260 118106327638 172616940394 236212655276 295265819095 345233880788 431542350985 590531638190 863084701970 1122010112561 1181063276380 1726169403940 2244020225122 4488040450244 5610050562805 11220101125610 22440202251220