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2244204155200 = 26527242167993
BaseRepresentation
bin100000101010000100111…
…111011101000101000000
321221112200110001021200211
4200222010333131011000
5243232112230431300
64434550111323504
7321065320401100
oct40520477350500
97845613037624
102244204155200
11795841815057
12302b37520594
13133820937ba7
147a897637200
153d59c0894ba
hex20a84fdd140

2244204155200 has 252 divisors, whose sum is σ = 6439072460412. Its totient is φ = 767602483200.

The previous prime is 2244204155189. The next prime is 2244204155203. The reversal of 2244204155200 is 25514024422.

It can be written as a sum of positive squares in 6 ways, for example, as 289375140096 + 1954829015104 = 537936^2 + 1398152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244204155203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32972404 + ... + 33040396.

Almost surely, 22244204155200 is an apocalyptic number.

2244204155200 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 2244204155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219536230206).

2244204155200 is an abundant number, since it is smaller than the sum of its proper divisors (4194868305212).

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

2244204155200 is a wasteful number, since it uses less digits than its factorization.

2244204155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68450 (or 68428 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 2244204155200 its reverse (25514024422), we get a palindrome (2269718179622).

The spelling of 2244204155200 in words is "two trillion, two hundred forty-four billion, two hundred four million, one hundred fifty-five thousand, two hundred".