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225230337 = 32531493169
BaseRepresentation
bin11010110110010…
…11111000000001
3120200210212221100
431123023320001
5430124332322
634203245013
75403266133
oct1533137001
9520725840
10225230337
11106155982
1263519769
133787c2b7
1421cad053
1514b8edac
hexd6cbe01

225230337 has 24 divisors (see below), whose sum is σ = 333801000. Its totient is φ = 146285568.

The previous prime is 225230323. The next prime is 225230339. The reversal of 225230337 is 733032522.

225230337 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 45643536 + 179586801 = 6756^2 + 13401^2 .

It is not a de Polignac number, because 225230337 - 26 = 225230273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225230337.

It is not an unprimeable number, because it can be changed into a prime (225230339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69489 + ... + 72657.

It is an arithmetic number, because the mean of its divisors is an integer number (13908375).

Almost surely, 2225230337 is an apocalyptic number.

It is an amenable number.

225230337 is a deficient number, since it is larger than the sum of its proper divisors (108570663).

225230337 is a wasteful number, since it uses less digits than its factorization.

225230337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 225230337 is about 15007.6759360002. The cubic root of 225230337 is about 608.4276778344.

Adding to 225230337 its reverse (733032522), we get a palindrome (958262859).

The spelling of 225230337 in words is "two hundred twenty-five million, two hundred thirty thousand, three hundred thirty-seven".

Divisors: 1 3 9 53 149 159 447 477 1341 3169 7897 9507 23691 28521 71073 167957 472181 503871 1416543 1511613 4249629 25025593 75076779 225230337