| Base | Representation |
|---|---|
| bin | 101011011001110… |
| … | …100110100010001 |
| 3 | 1212202012220012100 |
| 4 | 223121310310101 |
| 5 | 2442404041400 |
| 6 | 200131351013 |
| 7 | 24021341400 |
| oct | 5331646421 |
| 9 | 1782186170 |
| 10 | 728190225 |
| 11 | 344054104 |
| 12 | 183a52469 |
| 13 | b7b2c6b9 |
| 14 | 6c9d5637 |
| 15 | 43de0100 |
| hex | 2b674d11 |
728190225 has 81 divisors (see below), whose sum is σ = 1523138097. Its totient is φ = 331591680.
The previous prime is 728190167. The next prime is 728190241. The reversal of 728190225 is 522091827.
The square root of 728190225 is 26985.
It is a perfect power (a square), and thus also a powerful number.
728190225 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 4 ways, for example, as 178944129 + 549246096 = 13377^2 + 23436^2 .
It is not a de Polignac number, because 728190225 - 219 = 727665937 is a prime.
It is a super-2 number, since 2×7281902252 = 1060522007571101250, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 728190225.
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2833297 + ... + 2833553.
Almost surely, 2728190225 is an apocalyptic number.
728190225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.
728190225 is the 26985-th square number.
728190225 is the 13493-rd centered octagonal number.
It is an amenable number.
728190225 is an abundant number, since it is smaller than the sum of its proper divisors (794947872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
728190225 is a wasteful number, since it uses less digits than its factorization.
728190225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 544 (or 272 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The cubic root of 728190225 is about 899.6666357948. Note that the first 4 decimals are identical.
Multiplying 728190225 by its sum of digits (36), we get a square (26214848100 = 1619102).
The spelling of 728190225 in words is "seven hundred twenty-eight million, one hundred ninety thousand, two hundred twenty-five".
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