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22243944240 = 24325729152189
BaseRepresentation
bin10100101101110101…
…111010011100110000
32010102012220110001200
4110231311322130300
5331023422203430
614115124531200
71415140256250
oct245565723460
963365813050
1022243944240
1194851435a1
124389550b00
1321365541ab
141110321960
158a2c68460
hex52dd7a730

22243944240 has 240 divisors, whose sum is σ = 88318900800. Its totient is φ = 4908976128.

The previous prime is 22243944137. The next prime is 22243944277. The reversal of 22243944240 is 4244934222.

22243944240 is a `hidden beast` number, since 2 + 2 + 24 + 394 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22243944195 and 22243944204.

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 47 ways as a sum of consecutive naturals, for example, 70066 + ... + 222254.

It is an arithmetic number, because the mean of its divisors is an integer number (367995420).

Almost surely, 222243944240 is an apocalyptic number.

22243944240 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 22243944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44159450400).

22243944240 is an abundant number, since it is smaller than the sum of its proper divisors (66074956560).

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

22243944240 is a wasteful number, since it uses less digits than its factorization.

22243944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152244 (or 152235 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 22243944240 in words is "twenty-two billion, two hundred forty-three million, nine hundred forty-four thousand, two hundred forty".