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22020222400 = 2652111773597
BaseRepresentation
bin10100100000100000…
…011110110111000000
32002211121221012101121
4110200200132313000
5330044134104100
614041013442024
71406452542061
oct244040366700
962747835347
1022020222400
11937a929010
124326640314
1320cc0b26c7
1410cc726568
1588d2c551a
hex52081edc0

22020222400 has 168 divisors, whose sum is σ = 62587150416. Its totient is φ = 7536230400.

The previous prime is 22020222353. The next prime is 22020222403. The reversal of 22020222400 is 422202022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020222403) 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, 262402 + ... + 335998.

It is an arithmetic number, because the mean of its divisors is an integer number (372542562).

Almost surely, 222020222400 is an apocalyptic number.

22020222400 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 22020222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31293575208).

22020222400 is an abundant number, since it is smaller than the sum of its proper divisors (40566928016).

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

22020222400 is a wasteful number, since it uses less digits than its factorization.

22020222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73647 (or 73632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22020222400 its reverse (422202022), we get a palindrome (22442424422).

The spelling of 22020222400 in words is "twenty-two billion, twenty million, two hundred twenty-two thousand, four hundred".