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2222122122 = 2321117660167
BaseRepresentation
bin1000010001110010…
…1110010010001010
312201212022111111100
42010130232102022
514022330401442
61004255442230
7106031504103
oct20434562212
95655274440
102222122122
11a4036a270
12520226376
132954a897c
141711993aa
15d013b84c
hex8472e48a

2222122122 has 48 divisors (see below), whose sum is σ = 5561255232. Its totient is φ = 633759360.

The previous prime is 2222122121. The next prime is 2222122127. The reversal of 2222122122 is 2212212222.

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 = 2222122095 and 2222122104.

It is not an unprimeable number, because it can be changed into a prime (2222122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326718 + ... + 333449.

It is an arithmetic number, because the mean of its divisors is an integer number (115859484).

Almost surely, 22222122122 is an apocalyptic number.

2222122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2222122122 is an abundant number, since it is smaller than the sum of its proper divisors (3339133110).

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

2222122122 is a wasteful number, since it uses less digits than its factorization.

2222122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660203 (or 660200 counting only the distinct ones).

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

The square root of 2222122122 is about 47139.3903439576. The cubic root of 2222122122 is about 1304.9362861394.

Adding to 2222122122 its reverse (2212212222), we get a palindrome (4434334344).

It can be divided in two parts, 22 and 22122122, that multiplied together give a palindrome (486686684).

The spelling of 2222122122 in words is "two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 660167 1320334 1980501 3961002 5941503 7261837 11222839 11883006 14523674 21785511 22445678 33668517 43571022 65356533 67337034 101005551 123451229 130713066 202011102 246902458 370353687 740707374 1111061061 2222122122