Search a number
-
+
22022000100 = 223252315411459
BaseRepresentation
bin10100100000100111…
…010000110111100100
32002211202021111221100
4110200213100313210
5330100113000400
614041115520100
71406503624632
oct244047206744
962752244840
1022022000100
119380932691
124327159030
1320cc5858b9
1410cca6a352
1588d527100
hex5209d0de4

22022000100 has 216 divisors, whose sum is σ = 71434039040. Its totient is φ = 5668704000.

The previous prime is 22022000087. The next prime is 22022000137. The reversal of 22022000100 is 100022022.

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 71 ways as a sum of consecutive naturals, for example, 15093171 + ... + 15094629.

Almost surely, 222022000100 is an apocalyptic number.

22022000100 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 22022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717019520).

22022000100 is an abundant number, since it is smaller than the sum of its proper divisors (49412038940).

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

22022000100 is a wasteful number, since it uses less digits than its factorization.

22022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2041 counting only the distinct ones).

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

Adding to 22022000100 its reverse (100022022), we get a palindrome (22122022122).

The spelling of 22022000100 in words is "twenty-two billion, twenty-two million, one hundred", and thus it is an aban number.