Search a number
-
+
15093225 = 325272372
BaseRepresentation
bin111001100100…
…110111101001
31001101211000100
4321210313221
512330440400
61255300013
7242201400
oct71446751
931354010
1015093225
118579844
12507a609
133185c04
14200c637
1514d2100
hexe64de9

15093225 has 81 divisors (see below), whose sum is σ = 32320197. Its totient is φ = 6713280.

The previous prime is 15093223. The next prime is 15093233. The reversal of 15093225 is 52239051.

The square root of 15093225 is 3885.

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 1432809 + 13660416 = 1197^2 + 3696^2 .

It is not a de Polignac number, because 15093225 - 21 = 15093223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (15093223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 407907 + ... + 407943.

Almost surely, 215093225 is an apocalyptic number.

15093225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15093225 is the 3885-th square number.

15093225 is the 1943-rd centered octagonal number.

It is an amenable number.

15093225 is an abundant number, since it is smaller than the sum of its proper divisors (17226972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15093225 is a wasteful number, since it uses less digits than its factorization.

15093225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 15093225 is about 247.1310695577.

The spelling of 15093225 in words is "fifteen million, ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 49 63 75 105 111 147 175 185 225 245 259 315 333 441 525 555 735 777 925 1225 1295 1369 1575 1665 1813 2205 2331 2775 3675 3885 4107 5439 6475 6845 8325 9065 9583 11025 11655 12321 16317 19425 20535 27195 28749 34225 45325 47915 58275 61605 67081 81585 86247 102675 135975 143745 201243 239575 308025 335405 407925 431235 603729 718725 1006215 1677025 2156175 3018645 5031075 15093225