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22221211122 = 2321117233147197
BaseRepresentation
bin10100101100011111…
…001100010111110010
32010100122010111002100
4110230133030113302
5331002112223442
614112553401230
71414443115035
oct245437142762
963318114070
1022221211122
1194733268a0
124381a09216
132131924a46
14110b2c501c
158a0c7784c
hex52c7cc5f2

22221211122 has 384 divisors, whose sum is σ = 61487382528. Its totient is φ = 5712537600.

The previous prime is 22221211079. The next prime is 22221211157. The reversal of 22221211122 is 22111212222.

It is a happy number.

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 = 22221211095 and 22221211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112797928 + ... + 112798124.

It is an arithmetic number, because the mean of its divisors is an integer number (160123392).

Almost surely, 222221211122 is an apocalyptic number.

22221211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30743691264).

22221211122 is an abundant number, since it is smaller than the sum of its proper divisors (39266171406).

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

22221211122 is a wasteful number, since it uses less digits than its factorization.

22221211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

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

Adding to 22221211122 its reverse (22111212222), we get a palindrome (44332423344).

The spelling of 22221211122 in words is "twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".