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3628255225 = 527217212
BaseRepresentation
bin1101100001000010…
…1100011111111001
3100100212012110111011
43120100230133321
524412313131400
61400010033521
7155624442400
oct33020543771
910325173434
103628255225
1115a2067941
128531188a1
1345a8c3baa
14265c26637
151637e38ba
hexd842c7f9

3628255225 has 27 divisors (see below), whose sum is σ = 5236615821. Its totient is φ = 2486500800.

The previous prime is 3628255223. The next prime is 3628255231. The reversal of 3628255225 is 5225528263.

The square root of 3628255225 is 60235.

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 41203561 + 3587051664 = 6419^2 + 59892^2 .

It is not a de Polignac number, because 3628255225 - 21 = 3628255223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3628255223) 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 26 ways as a sum of consecutive naturals, for example, 2107365 + ... + 2109085.

Almost surely, 23628255225 is an apocalyptic number.

3628255225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3628255225 is the 60235-th square number.

3628255225 is the 30118-th centered octagonal number.

It is an amenable number.

3628255225 is a deficient number, since it is larger than the sum of its proper divisors (1608360596).

3628255225 is an frugal number, since it uses more digits than its factorization.

3628255225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 1733 counting only the distinct ones).

The product of its digits is 288000, while the sum is 40.

The cubic root of 3628255225 is about 1536.6180951600.

The spelling of 3628255225 in words is "three billion, six hundred twenty-eight million, two hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1721 8605 12047 43025 60235 84329 301175 421645 2108225 2961841 14809205 20732887 74046025 103664435 145130209 518322175 725651045 3628255225