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22222312420 = 225721141137367
BaseRepresentation
bin10100101100100011…
…011001001111100100
32010100201012102210011
4110230203121033210
5331002402444140
614113033140004
71414455352600
oct245443311744
963321172704
1022222312420
119473a09260
12438225a604
132131c1c0b9
14110b4d0500
158a0de3cea
hex52c8d93e4

22222312420 has 288 divisors, whose sum is σ = 61274755584. Its totient is φ = 6689894400.

The previous prime is 22222312393. The next prime is 22222312421. The reversal of 22222312420 is 2421322222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22222312391 and 22222312400.

It is not an unprimeable number, because it can be changed into a prime (22222312421) 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 95 ways as a sum of consecutive naturals, for example, 60551077 + ... + 60551443.

It is an arithmetic number, because the mean of its divisors is an integer number (212759568).

Almost surely, 222222312420 is an apocalyptic number.

22222312420 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 22222312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30637377792).

22222312420 is an abundant number, since it is smaller than the sum of its proper divisors (39052443164).

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

22222312420 is a wasteful number, since it uses less digits than its factorization.

22222312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22222312420 its reverse (2421322222), we get a palindrome (24643634642).

The spelling of 22222312420 in words is "twenty-two billion, two hundred twenty-two million, three hundred twelve thousand, four hundred twenty".