Search a number
-
+
22112110022200 = 23521159823206993
BaseRepresentation
bin1010000011100011000000…
…11101101000111000111000
32220021220012222002120022021
411001301200131220320320
510344241100131202300
6115010055122004224
74441355462005432
oct501614035507070
986256188076267
1022112110022200
117055769711930
122591584aa6674
13c45217231843
14566336229652
152852c0302d1a
hex141c60768e38

22112110022200 has 192 divisors, whose sum is σ = 57104511148800. Its totient is φ = 7894840473600.

The previous prime is 22112110022179. The next prime is 22112110022207. The reversal of 22112110022200 is 222001121122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112110022207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106721904 + ... + 106928896.

It is an arithmetic number, because the mean of its divisors is an integer number (297419328900).

Almost surely, 222112110022200 is an apocalyptic number.

22112110022200 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 22112110022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28552255574400).

22112110022200 is an abundant number, since it is smaller than the sum of its proper divisors (34992401126600).

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

22112110022200 is a wasteful number, since it uses less digits than its factorization.

22112110022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207902 (or 207893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112110022200 its reverse (222001121122), we get a palindrome (22334111143322).

The spelling of 22112110022200 in words is "twenty-two trillion, one hundred twelve billion, one hundred ten million, twenty-two thousand, two hundred".