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20220420220 = 225711133121051
BaseRepresentation
bin10010110101001110…
…110010000001111100
31221012012021202221121
4102311032302001330
5312402411421340
613142241440324
71314036510310
oct226516620174
957165252847
1020220420220
118636999aa0
123b039400a4
131ba32616c0
14d9b6a1b40
157d52aa94a
hex4b53b207c

20220420220 has 288 divisors, whose sum is σ = 58967612928. Its totient is φ = 5624640000.

The previous prime is 20220420203. The next prime is 20220420223. The reversal of 20220420220 is 2202402202.

It is a junction number, because it is equal to n+sod(n) for n = 20220420194 and 20220420203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220420223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19238695 + ... + 19239745.

It is an arithmetic number, because the mean of its divisors is an integer number (204748656).

Almost surely, 220220420220 is an apocalyptic number.

20220420220 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 20220420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29483806464).

20220420220 is an abundant number, since it is smaller than the sum of its proper divisors (38747192708).

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

20220420220 is a wasteful number, since it uses less digits than its factorization.

20220420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20220420220 its reverse (2202402202), we get a palindrome (22422822422).

The spelling of 20220420220 in words is "twenty billion, two hundred twenty million, four hundred twenty thousand, two hundred twenty".