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20220330000 = 2435413139373
BaseRepresentation
bin10010110101001110…
…011100000000010000
31221012012010012012010
4102311032130000100
5312402401030000
613142235502520
71314035653263
oct226516340020
957165105163
1020220330000
118636938232
123b038b7a40
131ba322c610
14d9b67acda
157d528dd50
hex4b539c010

20220330000 has 400 divisors, whose sum is σ = 70990525760. Its totient is φ = 4928256000.

The previous prime is 20220329971. The next prime is 20220330049. The reversal of 20220330000 is 3302202.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 54209814 + ... + 54210186.

Almost surely, 220220330000 is an apocalyptic number.

20220330000 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 20220330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35495262880).

20220330000 is an abundant number, since it is smaller than the sum of its proper divisors (50770195760).

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

20220330000 is a wasteful number, since it uses less digits than its factorization.

20220330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20220330000 its reverse (3302202), we get a palindrome (20223632202).

The spelling of 20220330000 in words is "twenty billion, two hundred twenty million, three hundred thirty thousand".