Search a number
-
+
15132690225 = 32525921392
BaseRepresentation
bin11100001011111101…
…01000011100110001
31110001121211022110100
432011332220130301
5221442432041400
610541334023013
71044000513252
oct160576503461
943047738410
1015132690225
116466011164
122b23aa7a69
131572197193
14a37ac4b29
155d87c5100
hex385fa8731

15132690225 has 81 divisors (see below), whose sum is σ = 27771294603. Its totient is φ = 7876896480.

The previous prime is 15132690211. The next prime is 15132690281. The reversal of 15132690225 is 52209623151.

It is a happy number.

The square root of 15132690225 is 123015.

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

It can be written as a sum of positive squares in only one way, i.e., 5447768481 + 9684921744 = 73809^2 + 98412^2 .

It is not a de Polignac number, because 15132690225 - 221 = 15130593073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15132690225.

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, 108868206 + ... + 108868344.

Almost surely, 215132690225 is an apocalyptic number.

15132690225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15132690225 is the 123015-th square number.

15132690225 is the 61508-th centered octagonal number.

It is an amenable number.

15132690225 is a deficient number, since it is larger than the sum of its proper divisors (12638604378).

15132690225 is an equidigital number, since it uses as much as digits as its factorization.

15132690225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 15132690225 by its sum of digits (36), we get a square (544776848100 = 7380902).

Multiplying 15132690225 by its product of nonzero digits (32400), we get a square (490299163290000 = 221427002).

The spelling of 15132690225 in words is "fifteen billion, one hundred thirty-two million, six hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 139 177 225 295 417 531 695 885 1251 1475 2085 2655 3475 3481 4425 6255 8201 10425 10443 13275 17405 19321 24603 31275 31329 41005 52215 57963 73809 87025 96605 123015 156645 173889 205025 261075 289815 369045 483025 483859 615075 783225 869445 1139939 1449075 1451577 1845225 2419295 3419817 4347225 4354731 5699695 7257885 10259451 12096475 17099085 21773655 28498475 36289425 51297255 67256401 85495425 108868275 201769203 256486275 336282005 605307609 1008846015 1681410025 3026538045 5044230075 15132690225