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211222221201140 = 22522717464899021
BaseRepresentation
bin110000000001101100000001…
…011101101001111011110100
31000200212122110202200101202212
4300001230001131221323310
5210141131102111414030
62025122052052352552
762330205355532132
oct6001540135517364
91020778422611685
10211222221201140
11613359283527a6
121b834346615758
1390b2229622416
143a232d255c752
151964594942595
hexc01b01769ef4

211222221201140 has 24 divisors (see below), whose sum is σ = 443586191235432. Its totient is φ = 84485169106560.

The previous prime is 211222221201139. The next prime is 211222221201149. The reversal of 211222221201140 is 41102122222112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43795753322896 + 167426467878244 = 6617836^2 + 12939338^2 .

It is a super-2 number, since 2×2112222212011402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222221201149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231995171 + ... + 232903850.

It is an arithmetic number, because the mean of its divisors is an integer number (18482757968143).

Almost surely, 2211222221201140 is an apocalyptic number.

211222221201140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222221201140 is an abundant number, since it is smaller than the sum of its proper divisors (232363970034292).

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

211222221201140 is a wasteful number, since it uses less digits than its factorization.

211222221201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464921747 (or 464921745 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 211222221201140 its reverse (41102122222112), we get a palindrome (252324343423252).

The spelling of 211222221201140 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 22717 45434 90868 113585 227170 454340 464899021 929798042 1859596084 2324495105 4648990210 9297980420 10561111060057 21122222120114 42244444240228 52805555300285 105611110600570 211222221201140