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22021131220 = 22511217535273
BaseRepresentation
bin10100100000100011…
…111100101111010100
32002211200122101001121
4110200203330233110
5330044402144340
614041045133324
71406463345514
oct244043745724
962750571047
1022021131220
119380399900
1243269ba244
1320cc34027a
1410cc8c1844
1588d40494a
hex5208fcbd4

22021131220 has 72 divisors (see below), whose sum is σ = 53820730152. Its totient is φ = 7536629760.

The previous prime is 22021131217. The next prime is 22021131221. The reversal of 22021131220 is 2213112022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9323447364 + 12697683856 = 96558^2 + 112684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22021131194 and 22021131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021131221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226497 + ... + 308776.

It is an arithmetic number, because the mean of its divisors is an integer number (747510141).

Almost surely, 222021131220 is an apocalyptic number.

22021131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021131220 is an abundant number, since it is smaller than the sum of its proper divisors (31799598932).

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

22021131220 is a wasteful number, since it uses less digits than its factorization.

22021131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535321 (or 535308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22021131220 its reverse (2213112022), we get a palindrome (24234243242).

The spelling of 22021131220 in words is "twenty-two billion, twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 8228 10285 20570 41140 535273 1070546 2141092 2676365 5352730 5888003 9099641 10705460 11776006 18199282 23552012 29440015 36398564 45498205 58880030 64768033 90996410 100096051 117760060 129536066 181992820 200192102 259072132 323840165 400384204 500480255 647680330 1000960510 1101056561 1295360660 2001921020 2202113122 4404226244 5505282805 11010565610 22021131220