Search a number
-
+
7668225 = 3252173197
BaseRepresentation
bin11101010000001000000001
3112102120211100
4131100020001
53430340400
6432205013
7122115225
oct35201001
915376740
107668225
114368284
122699769
131786416
141038785
15a17100
hex750201

7668225 has 36 divisors (see below), whose sum is σ = 13884156. Its totient is φ = 4045440.

The previous prime is 7668203. The next prime is 7668251. The reversal of 7668225 is 5228667.

It can be written as a sum of positive squares in 6 ways, for example, as 1272384 + 6395841 = 1128^2 + 2529^2 .

It is not a de Polignac number, because 7668225 - 26 = 7668161 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7668225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38827 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (385671).

Almost surely, 27668225 is an apocalyptic number.

7668225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7668225 is a deficient number, since it is larger than the sum of its proper divisors (6215931).

7668225 is a wasteful number, since it uses less digits than its factorization.

7668225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 7668225 is about 2769.1560086062. The cubic root of 7668225 is about 197.1960822622.

The spelling of 7668225 in words is "seven million, six hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 173 197 225 519 591 865 985 1557 1773 2595 2955 4325 4925 7785 8865 12975 14775 34081 38925 44325 102243 170405 306729 511215 852025 1533645 2556075 7668225