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227135825 = 52721571181
BaseRepresentation
bin11011000100111…
…01000101010001
3120211101200202222
431202131011101
5431121321300
634312150425
75425423400
oct1542350521
9524350688
10227135825
11107237564
1264098415
13380986c7
1422247637
1514e19785
hexd89d151

227135825 has 36 divisors (see below), whose sum is σ = 329997852. Its totient is φ = 154627200.

The previous prime is 227135813. The next prime is 227135849. The reversal of 227135825 is 528531722.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 227135041 = 28^2 + 15071^2 .

It is not a de Polignac number, because 227135825 - 24 = 227135809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191735 + ... + 192915.

It is an arithmetic number, because the mean of its divisors is an integer number (9166607).

Almost surely, 2227135825 is an apocalyptic number.

227135825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

227135825 is a deficient number, since it is larger than the sum of its proper divisors (102862027).

227135825 is a wasteful number, since it uses less digits than its factorization.

227135825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 227135825 is about 15071.0260101959. The cubic root of 227135825 is about 610.1386632724.

The spelling of 227135825 in words is "two hundred twenty-seven million, one hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 157 175 245 785 1099 1181 1225 3925 5495 5905 7693 8267 27475 29525 38465 41335 57869 185417 192325 206675 289345 927085 1297919 1446725 4635425 6489595 9085433 32447975 45427165 227135825