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3199599225 = 36524192
BaseRepresentation
bin1011111010110110…
…0000001001111001
322020222121111000000
42332231200021321
523023044133400
61245254303213
7142201100424
oct27655401171
98228544000
103199599225
1113a20aa289
12753657b09
133bcb5b2a4
14224d229bb
1513ad6e600
hexbeb60279

3199599225 has 63 divisors (see below), whose sum is σ = 5962764223. Its totient is φ = 1702380240.

The previous prime is 3199599211. The next prime is 3199599233. The reversal of 3199599225 is 5229959913.

It is a happy number.

The square root of 3199599225 is 56565.

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., 1151855721 + 2047743504 = 33939^2 + 45252^2 .

It is not a de Polignac number, because 3199599225 - 213 = 3199591033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 7636066 + ... + 7636484.

Almost surely, 23199599225 is an apocalyptic number.

3199599225 is the 56565-th square number.

3199599225 is the 28283-rd centered octagonal number.

It is an amenable number.

3199599225 is a deficient number, since it is larger than the sum of its proper divisors (2763164998).

3199599225 is an frugal number, since it uses more digits than its factorization.

3199599225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 427 counting only the distinct ones).

The product of its digits is 1968300, while the sum is 54.

The cubic root of 3199599225 is about 1473.5510773992.

The spelling of 3199599225 in words is "three billion, one hundred ninety-nine million, five hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 419 675 729 1215 1257 2025 2095 3645 3771 6075 6285 10475 11313 18225 18855 31425 33939 56565 94275 101817 169695 175561 282825 305451 509085 526683 848475 877805 1527255 1580049 2545425 2633415 4389025 4740147 7636275 7900245 13167075 14220441 23700735 39501225 42661323 71102205 118503675 127983969 213306615 355511025 639919845 1066533075 3199599225