Search a number
-
+
22000022100 = 2232527192361131
BaseRepresentation
bin10100011111010011…
…011011001001010100
32002210012220220210100
4110133103123021110
5330024001201400
614035012454100
71406116050060
oct243723331124
962705826710
1022000022100
11936a491251
12431b91a330
1320c7b5c074
1410c9b88aa0
1588b635100
hex51f4db254

22000022100 has 864 divisors, whose sum is σ = 88654325760. Its totient is φ = 4447872000.

The previous prime is 22000022071. The next prime is 22000022117. The reversal of 22000022100 is 122000022.

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 287 ways as a sum of consecutive naturals, for example, 167939035 + ... + 167939165.

Almost surely, 222000022100 is an apocalyptic number.

22000022100 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 22000022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44327162880).

22000022100 is an abundant number, since it is smaller than the sum of its proper divisors (66654303660).

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

22000022100 is a wasteful number, since it uses less digits than its factorization.

22000022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

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

Adding to 22000022100 its reverse (122000022), we get a palindrome (22122022122).

The spelling of 22000022100 in words is "twenty-two billion, twenty-two thousand, one hundred".