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225325056 = 2123111667
BaseRepresentation
bin11010110111000…
…11000000000000
3120200222200212110
431123203000000
5430140400211
634205255320
75404142235
oct1533430000
9520880773
10225325056
11106210060
1263564540
13378b3448
1421cd578c
1514bacea6
hexd6e3000

225325056 has 104 divisors (see below), whose sum is σ = 655804224. Its totient is φ = 68239360.

The previous prime is 225325049. The next prime is 225325057. The reversal of 225325056 is 650523522.

It is a super-2 number, since 2×2253250562 = 101542761722806272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225325057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134335 + ... + 136001.

Almost surely, 2225325056 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 225325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327902112).

225325056 is an abundant number, since it is smaller than the sum of its proper divisors (430479168).

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

225325056 is a wasteful number, since it uses less digits than its factorization.

225325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 225325056 is about 15010.8312894390. The cubic root of 225325056 is about 608.5129558440.

Adding to 225325056 its reverse (650523522), we get a palindrome (875848578).

The spelling of 225325056 in words is "two hundred twenty-five million, three hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1667 2048 2112 2816 3072 3334 4096 4224 5001 5632 6144 6668 8448 10002 11264 12288 13336 16896 18337 20004 22528 26672 33792 36674 40008 45056 53344 55011 67584 73348 80016 106688 110022 135168 146696 160032 213376 220044 293392 320064 426752 440088 586784 640128 853504 880176 1173568 1280256 1707008 1760352 2347136 2560512 3414016 3520704 4694272 5121024 6828032 7041408 9388544 10242048 14082816 18777088 20484096 28165632 37554176 56331264 75108352 112662528 225325056