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201221000022222 = 232193782719228259
BaseRepresentation
bin101101110000001001101010…
…001110100100100011001110
3222101110112120110120211101200
4231300021222032210203032
5202333301102001202342
61551543352401250330
760245510651260245
oct5560115216444316
9871415513524350
10201221000022222
115912a38a767a04
121a699b899339a6
13883809c49882b
14379921118995c
15183e3476cd94c
hexb7026a3a48ce

201221000022222 has 96 divisors (see below), whose sum is σ = 471898418659200. Its totient is φ = 61751319827904.

The previous prime is 201221000022199. The next prime is 201221000022247. The reversal of 201221000022222 is 222220000122102.

201221000022222 is a `hidden beast` number, since 201 + 221 + 0 + 0 + 0 + 0 + 22 + 222 = 666.

It is a super-2 number, since 2×2012210000222222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201221000022195 and 201221000022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850729 + ... + 20078987.

It is an arithmetic number, because the mean of its divisors is an integer number (4915608527700).

Almost surely, 2201221000022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201221000022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235949209329600).

201221000022222 is an abundant number, since it is smaller than the sum of its proper divisors (270677418636978).

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

201221000022222 is a wasteful number, since it uses less digits than its factorization.

201221000022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19229150 (or 19229147 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201221000022222 its reverse (222220000122102), we get a palindrome (423441000144324).

The spelling of 201221000022222 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 827 1406 1654 2109 2481 4218 4962 6327 7443 12654 14886 15713 30599 31426 47139 61198 91797 94278 141417 183594 275391 282834 550782 581381 1162762 1744143 3488286 5232429 10464858 19228259 38456518 57684777 115369554 173054331 346108662 365336921 711445583 730673842 1096010763 1422891166 2134336749 2192021526 3288032289 4268673498 6403010247 6576064578 12806020494 13517466077 15901770193 27034932154 31803540386 40552398231 47705310579 81104796462 95410621158 121657194693 143115931737 243314389386 286231863474 302133633667 588365497141 604267267334 906400901001 1176730994282 1765096491423 1812801802002 2719202703003 3530192982846 5295289474269 5438405406006 10590578948538 11178944445679 22357888891358 33536833337037 67073666674074 100610500011111 201221000022222