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225731856 = 24371921861
BaseRepresentation
bin11010111010001…
…10010100010000
3120201202100220010
431131012110100
5430241404411
634222114520
75410455240
oct1535062420
9521670803
10225731856
11106468759
126371ba40
13379c665c
1421d9db20
1514c3d7a6
hexd746510

225731856 has 120 divisors (see below), whose sum is σ = 703746624. Its totient is φ = 61067520.

The previous prime is 225731833. The next prime is 225731861. The reversal of 225731856 is 658137522.

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, 120366 + ... + 122226.

Almost surely, 2225731856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225731856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873312).

225731856 is an abundant number, since it is smaller than the sum of its proper divisors (478014768).

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

225731856 is a wasteful number, since it uses less digits than its factorization.

225731856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1892 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 225731856 is about 15024.3753946712. The cubic root of 225731856 is about 608.8789371118.

The spelling of 225731856 in words is "two hundred twenty-five million, seven hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 361 399 456 532 722 798 912 1064 1083 1444 1596 1861 2128 2166 2527 2888 3192 3722 4332 5054 5583 5776 6384 7444 7581 8664 10108 11166 13027 14888 15162 17328 20216 22332 26054 29776 30324 35359 39081 40432 44664 52108 60648 70718 78162 89328 104216 106077 121296 141436 156324 208432 212154 247513 282872 312648 424308 495026 565744 625296 671821 742539 848616 990052 1343642 1485078 1697232 1980104 2015463 2687284 2970156 3960208 4030926 4702747 5374568 5940312 8061852 9405494 10749136 11880624 14108241 16123704 18810988 28216482 32247408 37621976 56432964 75243952 112865928 225731856