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222010012212200 = 23524095849464021
BaseRepresentation
bin110010011110101010111011…
…111010100001101111101000
31002010001221122110200111022022
4302132222323322201233220
5213044403001111242300
62104101554105044012
764522460031261512
oct6236527372415750
91063057573614268
10222010012212200
1164814a10117403
1220a9703ba86608
1396b55ba1abba4
143cb74b0352bb2
151a9eecadc4285
hexc9eabbea1be8

222010012212200 has 96 divisors (see below), whose sum is σ = 517524896655000. Its totient is φ = 88571543654400.

The previous prime is 222010012212193. The next prime is 222010012212211. The reversal of 222010012212200 is 2212210010222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27080554394404 + 194929457817796 = 5203898^2 + 13961714^2 .

It is a super-2 number, since 2×2220100122122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478216190 + ... + 478680210.

Almost surely, 2222010012212200 is an apocalyptic number.

222010012212200 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 222010012212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258762448327500).

222010012212200 is an abundant number, since it is smaller than the sum of its proper divisors (295514884442800).

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

222010012212200 is a wasteful number, since it uses less digits than its factorization.

222010012212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470295 (or 470286 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222010012212200 its reverse (2212210010222), we get a palindrome (224222222222422).

The spelling of 222010012212200 in words is "two hundred twenty-two trillion, ten billion, twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1636 2045 3272 4090 5849 8180 10225 11698 16360 20450 23396 29245 40900 46792 58490 81800 116980 146225 233960 292450 464021 584900 928042 1169800 1856084 2320105 2392241 3712168 4640210 4784482 9280420 9568964 11600525 11961205 18560840 19137928 23201050 23922410 46402100 47844820 59806025 92804200 95689640 119612050 189784589 239224100 379569178 478448200 759138356 948922945 1518276712 1897845890 2714058829 3795691780 4744614725 5428117658 7591383560 9489229450 10856235316 13570294145 18978458900 21712470632 27140588290 37956917800 54281176580 67851470725 108562353160 135702941450 271405882900 542811765800 1110050061061 2220100122122 4440200244244 5550250305305 8880400488488 11100500610610 22201001221220 27751251526525 44402002442440 55502503053050 111005006106100 222010012212200