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112042225 = 52292732
BaseRepresentation
bin1101010110110…
…10000011110001
321210211100001001
412223122003301
5212140322400
615041242001
72530225501
oct653320361
9253740031
10112042225
1158276a89
1231633301
131a29ba99
1410c47a01
159c82a6a
hex6ada0f1

112042225 has 27 divisors (see below), whose sum is σ = 145886403. Its totient is φ = 85357440.

The previous prime is 112042213. The next prime is 112042237. The reversal of 112042225 is 522240211.

112042225 = 13 + 23 + ... + 1453.

The square root of 112042225 is 10585.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (112042213) and next prime (112042237).

It can be written as a sum of positive squares in 13 ways, for example, as 61575409 + 50466816 = 7847^2 + 7104^2 .

It is not a de Polignac number, because 112042225 - 25 = 112042193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1534789 + ... + 1534861.

Almost surely, 2112042225 is an apocalyptic number.

112042225 is the 10585-th square number.

112042225 is the 5293-rd centered octagonal number.

It is an amenable number.

112042225 is a deficient number, since it is larger than the sum of its proper divisors (33844178).

112042225 is an frugal number, since it uses more digits than its factorization.

112042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 112042225 is about 482.0890215675.

Adding to 112042225 its reverse (522240211), we get a palindrome (634282436).

The spelling of 112042225 in words is "one hundred twelve million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 29 73 145 365 725 841 1825 2117 4205 5329 10585 21025 26645 52925 61393 133225 154541 306965 772705 1534825 3863525 4481689 22408445 112042225