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22229199360 = 29345107201
BaseRepresentation
bin10100101100111101…
…101010101000000000
32010101012011022220000
4110230331222220000
5331011133334420
614113440520000
71414601035254
oct245475525000
963335138800
1022229199360
119477892545
124384620000
132133490a04
14110c3a4264
158a1804690
hex52cf6aa00

22229199360 has 200 divisors, whose sum is σ = 79618710996. Its totient is φ = 5927731200.

The previous prime is 22229199353. The next prime is 22229199361. The reversal of 22229199360 is 6399192222.

It can be written as a sum of positive squares in 2 ways, for example, as 19874232576 + 2354966784 = 140976^2 + 48528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22229199361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153760 + ... + 260960.

Almost surely, 222229199360 is an apocalyptic number.

22229199360 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 22229199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809355498).

22229199360 is an abundant number, since it is smaller than the sum of its proper divisors (57389511636).

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

22229199360 is an equidigital number, since it uses as much as digits as its factorization.

22229199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107236 (or 107211 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 22229199360 in words is "twenty-two billion, two hundred twenty-nine million, one hundred ninety-nine thousand, three hundred sixty".