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225020256 = 25315312
BaseRepresentation
bin11010110100110…
…00100101100000
3120200102012202120
431122120211200
5430101122011
634154544240
75401432506
oct1532304540
9520365676
10225020256
1110602205a
1263438080
13378077a6
1421c56676
1514b4ca06
hexd698960

225020256 has 36 divisors (see below), whose sum is σ = 591064236. Its totient is φ = 74957760.

The previous prime is 225020219. The next prime is 225020261. The reversal of 225020256 is 652020522.

It is a super-2 number, since 2×2250202562 = 101268231220611072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146211 + ... + 147741.

It is an arithmetic number, because the mean of its divisors is an integer number (16418451).

Almost surely, 2225020256 is an apocalyptic number.

It is an amenable number.

225020256 is an abundant number, since it is smaller than the sum of its proper divisors (366043980).

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

225020256 is an frugal number, since it uses more digits than its factorization.

225020256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225020256 is about 15000.6751848042. The cubic root of 225020256 is about 608.2384510220.

Multiplying 225020256 by its sum of digits (24), we get a square (5400486144 = 734882).

225020256 divided by its sum of digits (24) gives a square (9375844 = 30622).

Multiplying 225020256 by its product of nonzero digits (2400), we get a square (540048614400 = 7348802).

Adding to 225020256 its reverse (652020522), we get a palindrome (877040778).

The spelling of 225020256 in words is "two hundred twenty-five million, twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1531 3062 4593 6124 9186 12248 18372 24496 36744 48992 73488 146976 2343961 4687922 7031883 9375844 14063766 18751688 28127532 37503376 56255064 75006752 112510128 225020256