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20220252000 = 2535313227571
BaseRepresentation
bin10010110101001110…
…001000111101100000
31221012011222020012020
4102311032020331200
5312402341031000
613142234101440
71314035210004
oct226516107540
957164866166
1020220252000
118636894673
123b0387a880
131ba3202c70
14d9b65a704
157d5275ba0
hex4b5388f60

20220252000 has 384 divisors, whose sum is σ = 71776793088. Its totient is φ = 4946688000.

The previous prime is 20220251971. The next prime is 20220252011. The reversal of 20220252000 is 25202202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35411715 + ... + 35412285.

It is an arithmetic number, because the mean of its divisors is an integer number (186918732).

Almost surely, 220220252000 is an apocalyptic number.

20220252000 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 20220252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35888396544).

20220252000 is an abundant number, since it is smaller than the sum of its proper divisors (51556541088).

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

20220252000 is a wasteful number, since it uses less digits than its factorization.

20220252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 20220252000 its reverse (25202202), we get a palindrome (20245454202).

The spelling of 20220252000 in words is "twenty billion, two hundred twenty million, two hundred fifty-two thousand".