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2212222122 = 2321112299091
BaseRepresentation
bin1000001111011011…
…1101010010101010
312201011200112020200
42003312331102222
514012312101442
61003303333030
7105551402115
oct20366752252
95634615220
102212222122
11a35818250
12518a51176
13293420796
1416db3d57c
15ce33334c
hex83dbd4aa

2212222122 has 48 divisors (see below), whose sum is σ = 5233718880. Its totient is φ = 669751200.

The previous prime is 2212222097. The next prime is 2212222123.

2212222122 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212222095 and 2212222104.

It is not an unprimeable number, because it can be changed into a prime (2212222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238797 + ... + 247887.

It is an arithmetic number, because the mean of its divisors is an integer number (109035810).

Almost surely, 22212222122 is an apocalyptic number.

2212222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212222122 is an abundant number, since it is smaller than the sum of its proper divisors (3021496758).

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

2212222122 is a wasteful number, since it uses less digits than its factorization.

2212222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10336 counting only the distinct ones).

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

The square root of 2212222122 is about 47034.2654030017. The cubic root of 2212222122 is about 1302.9954833789.

It can be divided in two parts, 22122 and 22122, that added together give a palindrome (44244).

The spelling of 2212222122 in words is "two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1229 2458 3687 7374 9091 11061 13519 18182 22122 27038 27273 40557 54546 81114 81819 100001 121671 163638 200002 243342 300003 600006 900009 1800018 11172839 22345678 33518517 67037034 100555551 122901229 201111102 245802458 368703687 737407374 1106111061 2212222122