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225312507 = 32719414591
BaseRepresentation
bin11010110110111…
…11111011111011
3120200222001122200
431123133323323
5430140000012
634205121243
75404060530
oct1533377373
9520861580
10225312507
11106201692
1263559223
13378aa814
1421cd0d87
1514ba93dc
hexd6dfefb

225312507 has 48 divisors (see below), whose sum is σ = 401157120. Its totient is φ = 118972800.

The previous prime is 225312497. The next prime is 225312553. The reversal of 225312507 is 705213522.

It is not a de Polignac number, because 225312507 - 26 = 225312443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225312007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46782 + ... + 51372.

It is an arithmetic number, because the mean of its divisors is an integer number (8357440).

Almost surely, 2225312507 is an apocalyptic number.

225312507 is a deficient number, since it is larger than the sum of its proper divisors (175844613).

225312507 is a wasteful number, since it uses less digits than its factorization.

225312507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4661 counting only the distinct ones).

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

The square root of 225312507 is about 15010.4132854495. The cubic root of 225312507 is about 608.5016590225.

The spelling of 225312507 in words is "two hundred twenty-five million, three hundred twelve thousand, five hundred seven".

Divisors: 1 3 7 9 19 21 41 57 63 123 133 171 287 369 399 779 861 1197 2337 2583 4591 5453 7011 13773 16359 32137 41319 49077 87229 96411 188231 261687 289233 564693 610603 785061 1317617 1694079 1831809 3576389 3952851 5495427 10729167 11858553 25034723 32187501 75104169 225312507