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20022266880 = 210355711219
BaseRepresentation
bin10010101001011010…
…111000110000000000
31220200101102112200000
4102221122320300000
5312001200020010
613110442400000
71306112313630
oct225132706000
956611375600
1020022266880
118545058500
123a69500000
131b711a2ac5
14d7d2406c0
157c2bb87c0
hex4a96b8c00

20022266880 has 1584 divisors, whose sum is σ = 95135389440. Its totient is φ = 3941498880.

The previous prime is 20022266867. The next prime is 20022266881. The reversal of 20022266880 is 8866222002.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022266881) 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 143 ways as a sum of consecutive naturals, for example, 1053803511 + ... + 1053803529.

Almost surely, 220022266880 is an apocalyptic number.

20022266880 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 20022266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567694720).

20022266880 is an abundant number, since it is smaller than the sum of its proper divisors (75113122560).

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

20022266880 is a wasteful number, since it uses less digits than its factorization.

20022266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 20022266880 its reverse (8866222002), we get a palindrome (28888488882).

The spelling of 20022266880 in words is "twenty billion, twenty-two million, two hundred sixty-six thousand, eight hundred eighty".