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22222121220 = 2232513311132711
BaseRepresentation
bin10100101100100010…
…101010100100000100
32010100200211201111200
4110230202222210010
5331002330334340
614113025102500
71414453625265
oct245442524404
963320751450
1022222121220
119473898642
124382187a30
132131b83070
14110b48096c
158a0da7330
hex52c8aa904

22222121220 has 288 divisors, whose sum is σ = 75624966144. Its totient is φ = 5244825600.

The previous prime is 22222121179. The next prime is 22222121221. The reversal of 22222121220 is 2212122222.

22222121220 is a `hidden beast` number, since 222 + 221 + 2 + 1 + 220 = 666.

It is a super-3 number, since 3×222221212203 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22222121193 and 22222121202.

It is not an unprimeable number, because it can be changed into a prime (22222121221) 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 95 ways as a sum of consecutive naturals, for example, 8195665 + ... + 8198375.

It is an arithmetic number, because the mean of its divisors is an integer number (262586688).

Almost surely, 222222121220 is an apocalyptic number.

22222121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812483072).

22222121220 is an abundant number, since it is smaller than the sum of its proper divisors (53402844924).

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

22222121220 is a wasteful number, since it uses less digits than its factorization.

22222121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2878 counting only the distinct ones).

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

Adding to 22222121220 its reverse (2212122222), we get a palindrome (24434243442).

The spelling of 22222121220 in words is "twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".