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7028307225 = 31252232
BaseRepresentation
bin1101000101110101…
…10111010100011001
3200010211000000000000
412202322313110121
5103343221312400
63121225003213
7336111424422
oct64272672431
920124000000
107028307225
112a87329275
121441923509
13880137594
144a9608649
152b205b600
hex1a2eb7519

7028307225 has 117 divisors (see below), whose sum is σ = 13665731023. Its totient is φ = 3585455280.

The previous prime is 7028307191. The next prime is 7028307227. The reversal of 7028307225 is 5227038207.

It is a happy number.

The square root of 7028307225 is 83835.

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., 2530190601 + 4498116624 = 50301^2 + 67068^2 .

It is not a de Polignac number, because 7028307225 - 215 = 7028274457 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 7028307225.

It is not an unprimeable number, because it can be changed into a prime (7028307227) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 305578564 + ... + 305578586.

Almost surely, 27028307225 is an apocalyptic number.

7028307225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7028307225 is the 83835-th square number.

7028307225 is the 41918-th centered octagonal number.

It is an amenable number.

7028307225 is a deficient number, since it is larger than the sum of its proper divisors (6637423798).

7028307225 is an frugal number, since it uses more digits than its factorization.

7028307225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The cubic root of 7028307225 is about 1915.5062753937.

Multiplying 7028307225 by its sum of digits (36), we get a square (253019060100 = 5030102).

The spelling of 7028307225 in words is "seven billion, twenty-eight million, three hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 243 345 405 529 575 621 675 729 1035 1215 1587 1725 1863 2025 2187 2645 3105 3645 4761 5175 5589 6075 6561 7935 9315 10935 13225 14283 15525 16767 18225 19683 23805 27945 32805 39675 42849 46575 50301 54675 59049 71415 83835 98415 119025 128547 139725 150903 164025 177147 214245 251505 295245 357075 385641 419175 452709 492075 531441 642735 754515 885735 1071225 1156923 1257525 1358127 1476225 1928205 2263545 2657205 3213675 3470769 3772575 4074381 4428675 5784615 6790635 9641025 10412307 11317725 12223143 13286025 17353845 20371905 28923075 31236921 33953175 52061535 61115715 86769225 93710763 101859525 156184605 260307675 281132289 305578575 468553815 780923025 1405661445 2342769075 7028307225