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14456455225 = 5213921732
BaseRepresentation
bin11010111011010110…
…00000000000111001
31101022111101000102121
431131223000000321
5214101323031400
610350300001241
71021146561532
oct153553000071
941274330377
1014456455225
116149323863
122975530221
131495058b24
149b1d75689
1559924921a
hex35dac0039

14456455225 has 27 divisors (see below), whose sum is σ = 18160868973. Its totient is φ = 11415591840.

The previous prime is 14456455201. The next prime is 14456455283. The reversal of 14456455225 is 52255465441.

It is a happy number.

The square root of 14456455225 is 120235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1591451449 + 12865003776 = 39893^2 + 113424^2 .

It is not a de Polignac number, because 14456455225 - 227 = 14322237497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83563239 + ... + 83563411.

Almost surely, 214456455225 is an apocalyptic number.

14456455225 is the 120235-th square number.

14456455225 is the 60118-th centered octagonal number.

It is an amenable number.

14456455225 is a deficient number, since it is larger than the sum of its proper divisors (3704413748).

14456455225 is an frugal number, since it uses more digits than its factorization.

14456455225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its digits is 960000, while the sum is 43.

The spelling of 14456455225 in words is "fourteen billion, four hundred fifty-six million, four hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 139 173 695 865 3475 4325 19321 24047 29929 96605 120235 149645 483025 601175 748225 3342533 4160131 16712665 20800655 83563325 104003275 578258209 2891291045 14456455225