Search a number
-
+
22212121122 = 2321482783227
BaseRepresentation
bin10100101011111100…
…100001001000100010
32010100000000122221200
4110223330201020202
5330442300333442
614112030502030
71414302625422
oct245374411042
963300018850
1022212121122
1194691883a4
12437a964916
13212ca91449
141109dda482
158a007e34c
hex52bf21222

22212121122 has 24 divisors (see below), whose sum is σ = 48130086576. Its totient is φ = 7403452056.

The previous prime is 22212121121. The next prime is 22212121123. The reversal of 22212121122 is 22112121222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22212121121) and next prime (22212121123).

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 = 22212121095 and 22212121104.

It is not an unprimeable number, because it can be changed into a prime (22212121121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225273 + ... + 308499.

It is an arithmetic number, because the mean of its divisors is an integer number (2005420274).

Almost surely, 222212121122 is an apocalyptic number.

22212121122 is an abundant number, since it is smaller than the sum of its proper divisors (25917965454).

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

22212121122 is a wasteful number, since it uses less digits than its factorization.

22212121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98062 (or 98059 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 22212121122 its reverse (22112121222), we get a palindrome (44324242344).

The spelling of 22212121122 in words is "twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 14827 29654 44481 83227 88962 133443 166454 249681 266886 499362 749043 1498086 1234006729 2468013458 3702020187 7404040374 11106060561 22212121122