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22301112213220 = 2251012109308461
BaseRepresentation
bin1010001001000011000011…
…10111110001111011100100
32220221222001212001200002011
411010201201313301323210
510410340134211310340
6115232553422524004
74461126231063421
oct504414167617344
986858055050064
1022301112213220
1171189375013a5
122602131436604
13c59ca7c12729
1457154584ad48
1528a182ebc0ea
hex144861df1ee4

22301112213220 has 36 divisors (see below), whose sum is σ = 47300613527412. Its totient is φ = 8832123568000.

The previous prime is 22301112213187. The next prime is 22301112213227. The reversal of 22301112213220 is 2231221110322.

It can be written as a sum of positive squares in 6 ways, for example, as 11033704176804 + 11267408036416 = 3321702^2 + 3356696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22301112213191 and 22301112213200.

It is not an unprimeable number, because it can be changed into a prime (22301112213227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54450211 + ... + 54858250.

It is an arithmetic number, because the mean of its divisors is an integer number (1313905931317).

Almost surely, 222301112213220 is an apocalyptic number.

22301112213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301112213220 is an abundant number, since it is smaller than the sum of its proper divisors (24999501314192).

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

22301112213220 is a wasteful number, since it uses less digits than its factorization.

22301112213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109308672 (or 109308569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22301112213220 its reverse (2231221110322), we get a palindrome (24532333323542).

The spelling of 22301112213220 in words is "twenty-two trillion, three hundred one billion, one hundred twelve million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 10201 20402 40804 51005 102010 204020 109308461 218616922 437233844 546542305 1093084610 2186169220 11040154561 22080309122 44160618244 55200772805 110401545610 220803091220 1115055610661 2230111221322 4460222442644 5575278053305 11150556106610 22301112213220