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3247290225 = 32522921312
BaseRepresentation
bin1100000110001101…
…1011011101110001
322101022100102202100
43001203123131301
523122301241400
61254120411013
7143320340304
oct30143333561
98338312670
103247290225
111417013233
12767616a69
133c99b870a
1422b3b8b3b
15140140100
hexc18db771

3247290225 has 81 divisors (see below), whose sum is σ = 6070067809. Its totient is φ = 1659403200.

The previous prime is 3247290197. The next prime is 3247290253. The reversal of 3247290225 is 5220927423.

The square root of 3247290225 is 56985.

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

It is an interprime number because it is at equal distance from previous prime (3247290197) and next prime (3247290253).

It can be written as a sum of positive squares in 4 ways, for example, as 44635761 + 3202654464 = 6681^2 + 56592^2 .

It is a de Polignac number, because none of the positive numbers 2k-3247290225 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3247290225.

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 80 ways as a sum of consecutive naturals, for example, 24788410 + ... + 24788540.

Almost surely, 23247290225 is an apocalyptic number.

3247290225 is the 56985-th square number.

3247290225 is the 28493-rd centered octagonal number.

It is an amenable number.

3247290225 is a deficient number, since it is larger than the sum of its proper divisors (2822777584).

3247290225 is a wasteful number, since it uses less digits than its factorization.

3247290225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 3247290225 is about 1480.8362429257.

Multiplying 3247290225 by its sum of digits (36), we get a square (116902448100 = 3419102).

The spelling of 3247290225 in words is "three billion, two hundred forty-seven million, two hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 131 145 225 261 393 435 655 725 841 1179 1305 1965 2175 2523 3275 3799 4205 5895 6525 7569 9825 11397 12615 17161 18995 21025 29475 34191 37845 51483 56985 63075 85805 94975 110171 154449 170955 189225 257415 284925 330513 429025 497669 550855 772245 854775 991539 1287075 1493007 1652565 2488345 2754275 3861225 4479021 4957695 7465035 8262825 12441725 14432401 22395105 24788475 37325175 43297203 72162005 111975525 129891609 216486015 360810025 649458045 1082430075 3247290225