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449322199225 = 5279216972
BaseRepresentation
bin1101000100111011011…
…00001010100010111001
31120221210000222200202021
412202131230022202321
524330202440333400
6542225450034441
744314423451134
oct6423554124271
91527700880667
10449322199225
11163613738719
12730b9118a21
13334a8b42103
1417a6689721b
15ba4ba0371a
hex689db0a8b9

449322199225 has 27 divisors (see below), whose sum is σ = 564634178157. Its totient is φ = 354698522880.

The previous prime is 449322199223. The next prime is 449322199307. The reversal of 449322199225 is 522991223944.

It is a happy number.

The square root of 449322199225 is 670315.

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 84655975849 + 364666223376 = 290957^2 + 603876^2 .

It is not a de Polignac number, because 449322199225 - 21 = 449322199223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449322199223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264773577 + ... + 264775273.

Almost surely, 2449322199225 is an apocalyptic number.

449322199225 is the 670315-th square number.

449322199225 is the 335158-th centered octagonal number.

It is an amenable number.

449322199225 is a deficient number, since it is larger than the sum of its proper divisors (115311978932).

449322199225 is an frugal number, since it uses more digits than its factorization.

449322199225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1781 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The spelling of 449322199225 in words is "four hundred forty-nine billion, three hundred twenty-two million, one hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 79 395 1697 1975 6241 8485 31205 42425 134063 156025 670315 2879809 3351575 10590977 14399045 52954885 71995225 227504911 264774425 1137524555 5687622775 17972887969 89864439845 449322199225