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2242521495252 = 223320764087919
BaseRepresentation
bin100000101000100000101…
…100100111011011010100
321221101100011211022012000
4200220200230213123110
5243220141000322002
64434111122155300
7321005526126003
oct40504054473324
97841304738160
102242521495252
11795058a157a5
12302747ab2b30
1313361315010c
147a777d86c3a
153d4ee4ad61c
hex20a20b276d4

2242521495252 has 24 divisors (see below), whose sum is σ = 5813944617600. Its totient is φ = 747507165048.

The previous prime is 2242521495251. The next prime is 2242521495281. The reversal of 2242521495252 is 2525941252422.

2242521495252 is a `hidden beast` number, since 2 + 2 + 4 + 252 + 149 + 5 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2242521495198 and 2242521495207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242521495251) 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 7 ways as a sum of consecutive naturals, for example, 10382043852 + ... + 10382044067.

It is an arithmetic number, because the mean of its divisors is an integer number (242247692400).

Almost surely, 22242521495252 is an apocalyptic number.

It is an amenable number.

2242521495252 is an abundant number, since it is smaller than the sum of its proper divisors (3571423122348).

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

2242521495252 is a wasteful number, since it uses less digits than its factorization.

2242521495252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20764087932 (or 20764087924 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 2242521495252 in words is "two trillion, two hundred forty-two billion, five hundred twenty-one million, four hundred ninety-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 20764087919 41528175838 62292263757 83056351676 124584527514 186876791271 249169055028 373753582542 560630373813 747507165084 1121260747626 2242521495252