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2442296956225 = 5272446512
BaseRepresentation
bin100011100010100100001…
…111100001010101000001
322122110222212121020001011
4203202210033201111001
5310003311010044400
65105550431440521
7341310252413200
oct43424417412501
98573885536034
102442296956225
11861854a63455
12335400386141
131493ccaa2859
14862ca2d9237
15437e2d7c8ba
hex238a43e1541

2442296956225 has 27 divisors (see below), whose sum is σ = 3522967652451. Its totient is φ = 1674680406000.

The previous prime is 2442296956223. The next prime is 2442296956241. The reversal of 2442296956225 is 5226596922442.

The square root of 2442296956225 is 1562785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 879226904241 + 1563070051984 = 937671^2 + 1250228^2 .

It is not a de Polignac number, because 2442296956225 - 21 = 2442296956223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2442296956225.

It is not an unprimeable number, because it can be changed into a prime (2442296956223) 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 26 ways as a sum of consecutive naturals, for example, 54675150 + ... + 54719800.

Almost surely, 22442296956225 is an apocalyptic number.

2442296956225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2442296956225 is the 1562785-th square number.

2442296956225 is the 781393-rd centered octagonal number.

It is an amenable number.

2442296956225 is a deficient number, since it is larger than the sum of its proper divisors (1080670696226).

2442296956225 is an frugal number, since it uses more digits than its factorization.

2442296956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89326 (or 44663 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 58.

The spelling of 2442296956225 in words is "two trillion, four hundred forty-two billion, two hundred ninety-six million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 44651 223255 312557 1116275 1562785 2187899 7813925 10939495 54697475 1993711801 9968559005 13955982607 49842795025 69779913035 97691878249 348899565175 488459391245 2442296956225