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222100102220000 = 255485912927829
BaseRepresentation
bin110010011111111110110101…
…101100101000100011100000
31002010101120011222221001220212
4302133332311230220203200
5213102342002132020000
62104211213422353252
764532126402562464
oct6237766554504340
91063346158831825
10222100102220000
116484a140624704
1220ab05a2a2b828
1396c0c46856804
143cbb9b91a04a4
151aa25000cec35
hexc9ffb5b288e0

222100102220000 has 120 divisors (see below), whose sum is σ = 547035696761400. Its totient is φ = 88736611392000.

The previous prime is 222100102219993. The next prime is 222100102220011. The reversal of 222100102220000 is 22201001222.

It is a super-2 number, since 2×2221001022200002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10716086 + ... + 23643914.

It is an arithmetic number, because the mean of its divisors is an integer number (4558630806345).

Almost surely, 2222100102220000 is an apocalyptic number.

222100102220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222100102220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273517848380700).

222100102220000 is an abundant number, since it is smaller than the sum of its proper divisors (324935594541400).

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

222100102220000 is an equidigital number, since it uses as much as digits as its factorization.

222100102220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928718 (or 12928695 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222100102220000 its reverse (22201001222), we get a palindrome (222122303221222).

The spelling of 222100102220000 in words is "two hundred twenty-two trillion, one hundred billion, one hundred two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 859 1000 1250 1718 2000 2500 3436 4000 4295 5000 6872 8590 10000 13744 17180 20000 21475 27488 34360 42950 68720 85900 107375 137440 171800 214750 343600 429500 536875 687200 859000 1073750 1718000 2147500 3436000 4295000 8590000 12927829 17180000 25855658 51711316 64639145 103422632 129278290 206845264 258556580 323195725 413690528 517113160 646391450 1034226320 1292782900 1615978625 2068452640 2585565800 3231957250 5171131600 6463914500 8079893125 10342263200 11105005111 12927829000 16159786250 22210010222 25855658000 32319572500 44420020444 51711316000 55525025555 64639145000 88840040888 111050051110 129278290000 177680081776 222100102220 258556580000 277625127775 355360163552 444200204440 555250255550 888400408880 1110500511100 1388125638875 1776800817760 2221001022200 2776251277750 4442002044400 5552502555500 6940628194375 8884004088800 11105005111000 13881256388750 22210010222000 27762512777500 44420020444000 55525025555000 111050051110000 222100102220000