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20220230400 = 283528911833
BaseRepresentation
bin10010110101001110…
…000011101100000000
31221012011221010120020
4102311032003230000
5312402334333100
613142233413440
71314035060016
oct226516035400
957164833506
1020220230400
11863687a417
123b0386a280
131ba31c6196
14d9b6528b6
157d526e5a0
hex4b5383b00

20220230400 has 216 divisors, whose sum is σ = 67486461840. Its totient is φ = 5331025920.

The previous prime is 20220230363. The next prime is 20220230447. The reversal of 20220230400 is 403202202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20220230400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702884 + ... + 1714716.

Almost surely, 220220230400 is an apocalyptic number.

20220230400 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 20220230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33743230920).

20220230400 is an abundant number, since it is smaller than the sum of its proper divisors (47266231440).

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

20220230400 is a wasteful number, since it uses less digits than its factorization.

20220230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20220230400 its reverse (403202202), we get a palindrome (20623432602).

The spelling of 20220230400 in words is "twenty billion, two hundred twenty million, two hundred thirty thousand, four hundred".