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225882360 = 233251157041
BaseRepresentation
bin11010111011010…
…11000011111000
3120202001000100100
431131223003320
5430311213420
634225235400
75411653104
oct1535530370
9522030310
10225882360
11106560840
1263792b60
1337a4a002
1421ddc904
1514c6d190
hexd76b0f8

225882360 has 96 divisors (see below), whose sum is σ = 800869680. Its totient is φ = 54758400.

The previous prime is 225882353. The next prime is 225882401. The reversal of 225882360 is 63288522.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24561 + ... + 32480.

Almost surely, 2225882360 is an apocalyptic number.

225882360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225882360 is an abundant number, since it is smaller than the sum of its proper divisors (574987320).

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

225882360 is a wasteful number, since it uses less digits than its factorization.

225882360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57069 (or 57062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 225882360 is about 15029.3832208777. The cubic root of 225882360 is about 609.0142279511.

The spelling of 225882360 in words is "two hundred twenty-five million, eight hundred eighty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 57041 114082 171123 228164 285205 342246 456328 513369 570410 627451 684492 855615 1026738 1140820 1254902 1368984 1711230 1882353 2053476 2281640 2509804 2566845 3137255 3422460 3764706 4106952 5019608 5133690 5647059 6274510 6844920 7529412 9411765 10267380 11294118 12549020 15058824 18823530 20534760 22588236 25098040 28235295 37647060 45176472 56470590 75294120 112941180 225882360