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22244045220000 = 253254761162389
BaseRepresentation
bin1010000111011000110000…
…11010011110100010100000
32220202111202202110001020200
411003230120122132202200
510403421301034020000
6115150435011105200
74454036114460042
oct503543032364240
986674682401220
1022244045220000
1170a671269778a
1225b30658a2200
13c547b2011a16
1456c890721a92
15288942ec8500
hex143b1869e8a0

22244045220000 has 360 divisors, whose sum is σ = 79149684634020. Its totient is φ = 5923914240000.

The previous prime is 22244045219993. The next prime is 22244045220041. The reversal of 22244045220000 is 2254044222.

22244045220000 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 4 + 0 + 452 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 10005606490896 + 12238438729104 = 3163164^2 + 3498348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 136898806 + ... + 137061194.

Almost surely, 222244045220000 is an apocalyptic number.

22244045220000 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 22244045220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39574842317010).

22244045220000 is an abundant number, since it is smaller than the sum of its proper divisors (56905639414020).

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

22244045220000 is a wasteful number, since it uses less digits than its factorization.

22244045220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163186 (or 163160 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 22244045220000 its reverse (2254044222), we get a palindrome (22246299264222).

The spelling of 22244045220000 in words is "twenty-two trillion, two hundred forty-four billion, forty-five million, two hundred twenty thousand".