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201200212220022 = 232238914933657449
BaseRepresentation
bin101101101111110110010011…
…001011011001100001110110
3222101101112220201200001200200
4231233312103023121201312
5202332431013312020042
61551530033530421330
760244143552002031
oct5557662313314166
9871345821601620
10201200212220022
1159121592579494
121a695b47b91846
13883613881c062
1437981dc3d2018
15183da2c6e9c4c
hexb6fd932d9876

201200212220022 has 96 divisors (see below), whose sum is σ = 460306760472000. Its totient is φ = 63387494624256.

The previous prime is 201200212220017. The next prime is 201200212220039. The reversal of 201200212220022 is 220022212002102.

201200212220022 is a `hidden beast` number, since 201 + 200 + 21 + 2 + 220 + 0 + 22 = 666.

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 = 201200212219977 and 201200212220004.

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, 53182354 + ... + 56839802.

It is an arithmetic number, because the mean of its divisors is an integer number (4794862088250).

Almost surely, 2201200212220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200212220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230153380236000).

201200212220022 is an abundant number, since it is smaller than the sum of its proper divisors (259106548251978).

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

201200212220022 is a wasteful number, since it uses less digits than its factorization.

201200212220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659062 (or 3659059 counting only the distinct ones).

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

Adding to 201200212220022 its reverse (220022212002102), we get a palindrome (421222424222124).

The spelling of 201200212220022 in words is "two hundred one trillion, two hundred billion, two hundred twelve million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 89 138 178 207 267 414 534 801 1493 1602 2047 2986 4094 4479 6141 8958 12282 13437 18423 26874 34339 36846 68678 103017 132877 206034 265754 309051 398631 618102 797262 1195893 2391786 3056171 3657449 6112342 7314898 9168513 10972347 18337026 21944694 27505539 32917041 55011078 65834082 84121327 168242654 252363981 325512961 504727962 651025922 757091943 976538883 1514183886 1953077766 2929616649 5460571357 5859233298 7486798103 10921142714 14973596206 16381714071 22460394309 32763428142 44920788618 49145142213 67381182927 98290284426 125593141211 134762365854 251186282422 376779423633 485990850773 753558847266 971981701546 1130338270899 1457972552319 2260676541798 2915945104638 4373917656957 8747835313914 11177789567779 22355579135558 33533368703337 67066737406674 100600106110011 201200212220022