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11217987225 = 32522323072
BaseRepresentation
bin10100111001010010…
…01110011010011001
31001221210121210111100
422130221032122121
5140433301042400
65053052222013
7544664214054
oct123451163231
931853553440
1011217987225
114837296925
122210a6a909
13109a13bb83
14785c15a9b
15459c9d100
hex29ca4e699

11217987225 has 81 divisors (see below), whose sum is σ = 21072878463. Its totient is φ = 5704158240.

The previous prime is 11217987203. The next prime is 11217987229. The reversal of 11217987225 is 52278971211.

The square root of 11217987225 is 105915.

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

11217987225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4038475401 + 7179511824 = 63549^2 + 84732^2 .

It is not a de Polignac number, because 11217987225 - 27 = 11217987097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11217987229) by changing a digit.

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, 36540522 + ... + 36540828.

Almost surely, 211217987225 is an apocalyptic number.

11217987225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11217987225 is the 105915-th square number.

11217987225 is the 52958-th centered octagonal number.

It is an amenable number.

11217987225 is a deficient number, since it is larger than the sum of its proper divisors (9854891238).

11217987225 is an equidigital number, since it uses as much as digits as its factorization.

11217987225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 11217987225 in words is "eleven billion, two hundred seventeen million, nine hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 307 345 529 575 921 1035 1535 1587 1725 2645 2763 4605 4761 5175 7061 7675 7935 13225 13815 21183 23025 23805 35305 39675 63549 69075 94249 105915 119025 162403 176525 282747 317745 471245 487209 529575 812015 848241 1413735 1461627 1588725 2167727 2356225 2436045 4060075 4241205 6503181 7068675 7308135 10838635 12180225 19509543 21206025 32515905 36540675 49857721 54193175 97547715 149573163 162579525 249288605 448719489 487738575 747865815 1246443025 2243597445 3739329075 11217987225