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225666112 = 2673116249
BaseRepresentation
bin11010111001101…
…10010001000000
3120201122000201011
431130312101000
5430232303422
634220450304
75410062460
oct1534662100
9521560634
10225666112
11106423321
12636a9994
13379a2759
1421d83ba0
1514c29077
hexd736440

225666112 has 56 divisors (see below), whose sum is σ = 528320000. Its totient is φ = 93588480.

The previous prime is 225666101. The next prime is 225666113. The reversal of 225666112 is 211666522.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (225666113) 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, 5764 + ... + 22012.

Almost surely, 2225666112 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 225666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264160000).

225666112 is an abundant number, since it is smaller than the sum of its proper divisors (302653888).

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

225666112 is a wasteful number, since it uses less digits than its factorization.

225666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16299 (or 16289 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 225666112 is about 15022.1873240883. The cubic root of 225666112 is about 608.8198197377.

The spelling of 225666112 in words is "two hundred twenty-five million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 16249 32498 64996 113743 129992 227486 259984 454972 503719 519968 909944 1007438 1039936 1819888 2014876 3526033 3639776 4029752 7052066 7279552 8059504 14104132 16119008 28208264 32238016 56416528 112833056 225666112