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221022012211220 = 225111046396018877
BaseRepresentation
bin110010010000010010110010…
…100001101000000000010100
31001222120111110001101011211102
4302100102302201220000110
5212432211040111224340
62102024035524125232
764361212334653403
oct6220226241500024
91058514401334742
10221022012211220
11644739aa952380
1220957668836818
1396433950775ac
143c8174592763a
151a84452dcd215
hexc904b2868014

221022012211220 has 48 divisors (see below), whose sum is σ = 506389735853568. Its totient is φ = 80363958456960.

The previous prime is 221022012211213. The next prime is 221022012211229. The reversal of 221022012211220 is 22112210220122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221022012211192 and 221022012211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022012211229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45707579 + ... + 50311298.

It is an arithmetic number, because the mean of its divisors is an integer number (10549786163616).

Almost surely, 2221022012211220 is an apocalyptic number.

221022012211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022012211220 is an abundant number, since it is smaller than the sum of its proper divisors (285367723642348).

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

221022012211220 is a wasteful number, since it uses less digits than its factorization.

221022012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96029360 (or 96029358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221022012211220 its reverse (22112210220122), we get a palindrome (243134222431342).

The spelling of 221022012211220 in words is "two hundred twenty-one trillion, twenty-two billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 10463 20926 41852 52315 104630 115093 209260 230186 460372 575465 1150930 2301860 96018877 192037754 384075508 480094385 960188770 1056207647 1920377540 2112415294 4224830588 5281038235 10562076470 21124152940 1004645510051 2009291020102 4018582040204 5023227550255 10046455100510 11051100610561 20092910201020 22102201221122 44204402442244 55255503052805 110511006105610 221022012211220