Search a number
-
+
22021110000 = 243254307797
BaseRepresentation
bin10100100000100011…
…110111100011110000
32002211200121021221200
4110200203313203300
5330044401010000
614041044451200
71406463226611
oct244043674360
962750537850
1022021110000
11938038496a
1243269a9b00
1320cc333706
1410cc8b7c08
1588d3ed500
hex5208f78f0

22021110000 has 300 divisors, whose sum is σ = 77358793512. Its totient is φ = 5845824000.

The previous prime is 22021109941. The next prime is 22021110043. The reversal of 22021110000 is 1112022.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27629602 + ... + 27630398.

Almost surely, 222021110000 is an apocalyptic number.

22021110000 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 22021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679396756).

22021110000 is an abundant number, since it is smaller than the sum of its proper divisors (55337683512).

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

22021110000 is a wasteful number, since it uses less digits than its factorization.

22021110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22021110000 its reverse (1112022), we get a palindrome (22022222022).

The spelling of 22021110000 in words is "twenty-two billion, twenty-one million, one hundred ten thousand".