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222202002121220 = 225112293166172729
BaseRepresentation
bin110010100001011101101111…
…011001111010001000000100
31002010202022012120120101200102
4302201131233121322020010
5213111024200020334340
62104330105055103232
764542364516466552
oct6241355731721004
91063668176511612
10222202002121220
1164889381448700
1220b082a0b11b18
1396ca735b63b54
143cc28c46a0bd2
151aa4eb6008215
hexca176f67a204

222202002121220 has 72 divisors (see below), whose sum is σ = 530587226093400. Its totient is φ = 78014496017920.

The previous prime is 222202002121213. The next prime is 222202002121243. The reversal of 222202002121220 is 22121200202222.

It can be written as a sum of positive squares in 4 ways, for example, as 34832116711876 + 187369885409344 = 5901874^2 + 13688312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222202002121192 and 222202002121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583016185 + ... + 1583156544.

It is an arithmetic number, because the mean of its divisors is an integer number (7369267029075).

Almost surely, 2222202002121220 is an apocalyptic number.

222202002121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222202002121220 is an abundant number, since it is smaller than the sum of its proper divisors (308385223972180).

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

222202002121220 is a wasteful number, since it uses less digits than its factorization.

222202002121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166172789 (or 3166172776 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222202002121220 its reverse (22121200202222), we get a palindrome (244323202323442).

It can be divided in two parts, 222202002 and 121220, that added together give a palindrome (222323222).

The spelling of 222202002121220 in words is "two hundred twenty-two trillion, two hundred two billion, two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 6380 7018 14036 17545 35090 70180 3166172729 6332345458 12664690916 15830863645 31661727290 34827900019 63323454580 69655800038 91819009141 139311600076 174139500095 183638018282 348279000190 367276036564 383106900209 459095045705 696558000380 766213800418 918190091410 1010009100551 1532427600836 1836380182820 1915534501045 2020018201102 3831069002090 4040036402204 5050045502755 7662138004180 10100091005510 11110100106061 20200182011020 22220200212122 44440400424244 55550500530305 111101001060610 222202002121220