Search a number
-
+
22022210212200 = 2332521137109275783
BaseRepresentation
bin1010000000111011100100…
…00001000101000101101000
32212222022011200202001000200
411000131302001011011220
510341302441303242300
6114500510321032200
74432023620145132
oct500356201050550
985868150661020
1022022210212200
117020626601aa0
122578075785660
13c398bb0bb6b3
14561c4876c052
15282cacb67200
hex140772045168

22022210212200 has 576 divisors, whose sum is σ = 83622452284800. Its totient is φ = 5146753996800.

The previous prime is 22022210212199. The next prime is 22022210212271. The reversal of 22022210212200 is 221201222022.

22022210212200 is a `hidden beast` number, since 2 + 20 + 22 + 210 + 212 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79715509 + ... + 79991291.

It is an arithmetic number, because the mean of its divisors is an integer number (145177868550).

Almost surely, 222022210212200 is an apocalyptic number.

22022210212200 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 22022210212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811226142400).

22022210212200 is an abundant number, since it is smaller than the sum of its proper divisors (61600242072600).

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

22022210212200 is a wasteful number, since it uses less digits than its factorization.

22022210212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275962 (or 275950 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022210212200 its reverse (221201222022), we get a palindrome (22243411434222).

The spelling of 22022210212200 in words is "twenty-two trillion, twenty-two billion, two hundred ten million, two hundred twelve thousand, two hundred".