Search a number
-
+
225160560 = 2434534747
BaseRepresentation
bin11010110101110…
…10110101110000
3120200200100020000
431122322311300
5430120114220
634201550000
75402555532
oct1532726560
9520610200
10225160560
11106108509
12634a5300
1337856601
1421c91852
1514b79390
hexd6bad70

225160560 has 100 divisors (see below), whose sum is σ = 782038488. Its totient is φ = 60041088.

The previous prime is 225160549. The next prime is 225160567. The reversal of 225160560 is 65061522.

225160560 is a `hidden beast` number, since 2 + 2 + 51 + 605 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225160567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10894 + ... + 23853.

Almost surely, 2225160560 is an apocalyptic number.

225160560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225160560 is an abundant number, since it is smaller than the sum of its proper divisors (556877928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225160560 is a wasteful number, since it uses less digits than its factorization.

225160560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34772 (or 34757 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 225160560 is about 15005.3510455437. The cubic root of 225160560 is about 608.3648404690.

The spelling of 225160560 in words is "two hundred twenty-five million, one hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 34747 69494 104241 138988 173735 208482 277976 312723 347470 416964 521205 555952 625446 694940 833928 938169 1042410 1250892 1389880 1563615 1667856 1876338 2084820 2501784 2779760 2814507 3127230 3752676 4169640 4690845 5003568 5629014 6254460 7505352 8339280 9381690 11258028 12508920 14072535 15010704 18763380 22516056 25017840 28145070 37526760 45032112 56290140 75053520 112580280 225160560