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20022262020 = 223653121429
BaseRepresentation
bin10010101001011010…
…110111100100000100
31220200101102022000000
4102221122313210010
5312001144341040
613110442321300
71306112263515
oct225132674404
956611368000
1020022262020
118545054892
123a694b9230
131b711a0827
14d7d23ca0c
157c2bb7130
hex4a96b7904

20022262020 has 252 divisors, whose sum is σ = 65186060940. Its totient is φ = 5163419520.

The previous prime is 20022262009. The next prime is 20022262067. The reversal of 20022262020 is 2026222002.

20022262020 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 22 + 620 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3836315844 + 16185946176 = 61938^2 + 127224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20022261984 and 20022262002.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14010666 + ... + 14012094.

It is an arithmetic number, because the mean of its divisors is an integer number (258674845).

Almost surely, 220022262020 is an apocalyptic number.

20022262020 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 20022262020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32593030470).

20022262020 is an abundant number, since it is smaller than the sum of its proper divisors (45163798920).

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

20022262020 is a wasteful number, since it uses less digits than its factorization.

20022262020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20022262020 its reverse (2026222002), we get a palindrome (22048484022).

The spelling of 20022262020 in words is "twenty billion, twenty-two million, two hundred sixty-two thousand, twenty".