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15327225 = 3652292
BaseRepresentation
bin111010011101…
…111111111001
31001211201000000
4322131333321
512410432400
61304303213
7244164534
oct72357771
931751000
1015327225
118719631
125171b09
133238584
14206da1b
15152b600
hexe9dff9

15327225 has 63 divisors (see below), whose sum is σ = 29512093. Its totient is φ = 7892640.

The previous prime is 15327173. The next prime is 15327227. The reversal of 15327225 is 52272351.

The square root of 15327225 is 3915.

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 210681 + 15116544 = 459^2 + 3888^2 .

It is not a de Polignac number, because 15327225 - 29 = 15326713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15327227) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 528511 + ... + 528539.

Almost surely, 215327225 is an apocalyptic number.

15327225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15327225 is the 3915-th square number.

15327225 is the 1958-th centered octagonal number.

It is an amenable number.

15327225 is a deficient number, since it is larger than the sum of its proper divisors (14184868).

15327225 is an frugal number, since it uses more digits than its factorization.

15327225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 37 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The cubic root of 15327225 is about 248.4016698060.

Adding to 15327225 its reverse (52272351), we get a palindrome (67599576).

The spelling of 15327225 in words is "fifteen million, three hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 243 261 405 435 675 725 729 783 841 1215 1305 2025 2175 2349 2523 3645 3915 4205 6075 6525 7047 7569 11745 12615 18225 19575 21025 21141 22707 35235 37845 58725 63075 68121 105705 113535 176175 189225 204363 340605 528525 567675 613089 1021815 1703025 3065445 5109075 15327225