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225676116 = 22326268781
BaseRepresentation
bin11010111001110…
…00101101010100
3120201122112102200
431130320231110
5430233113431
634221004500
75410133601
oct1534705524
9521575380
10225676116
1110642a896
12636b3730
13379a7183
1421d876a8
1514c2bee6
hexd738b54

225676116 has 18 divisors (see below), whose sum is σ = 570459162. Its totient is φ = 75225360.

The previous prime is 225676097. The next prime is 225676141. The reversal of 225676116 is 611676522.

It is a happy number.

225676116 is a `hidden beast` number, since 22 + 567 + 61 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188952516 + 36723600 = 13746^2 + 6060^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6268781 = 225676116 / (2 + 2 + 5 + 6 + 7 + 6 + 1 + 1 + 6).

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, 3134355 + ... + 3134426.

Almost surely, 2225676116 is an apocalyptic number.

It is an amenable number.

225676116 is an abundant number, since it is smaller than the sum of its proper divisors (344783046).

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

225676116 is a wasteful number, since it uses less digits than its factorization.

225676116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268791 (or 6268786 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 225676116 is about 15022.5202945445. The cubic root of 225676116 is about 608.8288161313.

The spelling of 225676116 in words is "two hundred twenty-five million, six hundred seventy-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 6268781 12537562 18806343 25075124 37612686 56419029 75225372 112838058 225676116