Search a number
-
+
2212200100000 = 25551141181271
BaseRepresentation
bin100000001100010001011…
…001101011000010100000
321211111002000202211102001
4200030101121223002200
5242221041211200000
64412134245333344
7315553244410522
oct40142131530240
97744060684361
102212200100000
11783209314760
122b88a5407254
131307c0308a17
14790dcd99a12
153c82754b46a
hex2031166b0a0

2212200100000 has 576 divisors, whose sum is σ = 6139650037248. Its totient is φ = 777600000000.

The previous prime is 2212200099947. The next prime is 2212200100031. The reversal of 2212200100000 is 10022122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2212200100000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8163099865 + ... + 8163100135.

It is an arithmetic number, because the mean of its divisors is an integer number (10659114648).

Almost surely, 22212200100000 is an apocalyptic number.

2212200100000 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 2212200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069825018624).

2212200100000 is an abundant number, since it is smaller than the sum of its proper divisors (3927449937248).

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

2212200100000 is a wasteful number, since it uses less digits than its factorization.

2212200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2212200100000 its reverse (10022122), we get a palindrome (2212210122122).

The spelling of 2212200100000 in words is "two trillion, two hundred twelve billion, two hundred million, one hundred thousand".