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22022100000 = 25325524469
BaseRepresentation
bin10100100000100111…
…101001010000100000
32002211202110120222100
4110200213221100200
5330100124200000
614041122010400
71406504522115
oct244047512040
962752416870
1022022100000
1193809a074a
1243271a6a00
1320cc5bc204
1410cca9490c
1588d546a00
hex5209e9420

22022100000 has 216 divisors, whose sum is σ = 78279872580. Its totient is φ = 5872320000.

The previous prime is 22022099989. The next prime is 22022100029. The reversal of 22022100000 is 122022.

It can be written as a sum of positive squares in 6 ways, for example, as 6052217616 + 15969882384 = 77796^2 + 126372^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 887766 + ... + 912234.

Almost surely, 222022100000 is an apocalyptic number.

22022100000 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 22022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39139936290).

22022100000 is an abundant number, since it is smaller than the sum of its proper divisors (56257772580).

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

22022100000 is an equidigital number, since it uses as much as digits as its factorization.

22022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24510 (or 24479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22022100000 its reverse (122022), we get a palindrome (22022222022).

The spelling of 22022100000 in words is "twenty-two billion, twenty-two million, one hundred thousand".