Search a number
-
+
22540101200 = 24522343227251
BaseRepresentation
bin10100111111011111…
…101010011001010000
32011011212011210000222
4110333133222121100
5332130231214300
614204344332212
71425364461521
oct247737523120
964155153028
1022540101200
119617332711
124450774068
132182a079b6
14113b7b4848
158bdc68785
hex53f7ea650

22540101200 has 240 divisors, whose sum is σ = 58307268096. Its totient is φ = 8352960000.

The previous prime is 22540101197. The next prime is 22540101211. The reversal of 22540101200 is 210104522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89801075 + ... + 89801325.

Almost surely, 222540101200 is an apocalyptic number.

22540101200 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 22540101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29153634048).

22540101200 is an abundant number, since it is smaller than the sum of its proper divisors (35767166896).

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

22540101200 is a wasteful number, since it uses less digits than its factorization.

22540101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 22540101200 its reverse (210104522), we get a palindrome (22750205722).

The spelling of 22540101200 in words is "twenty-two billion, five hundred forty million, one hundred one thousand, two hundred".