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2112825 = 3521113197
BaseRepresentation
bin1000000011110100111001
310222100020210
420003310321
51020102300
6113141333
723646561
oct10036471
93870223
102112825
111213440
1285a849
1358c8c0
143cdda1
152bb050
hex203d39

2112825 has 48 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 940800.

The previous prime is 2112821. The next prime is 2112827. The reversal of 2112825 is 5282112.

It is a happy number.

It is not a de Polignac number, because 2112825 - 22 = 2112821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10627 + ... + 10823.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

22112825 is an apocalyptic number.

2112825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2112825 is a deficient number, since it is larger than the sum of its proper divisors (2011911).

2112825 is a wasteful number, since it uses less digits than its factorization.

2112825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 2112825 is about 1453.5559844739. Note that the first 3 decimals coincide. The cubic root of 2112825 is about 128.3180769330.

Adding to 2112825 its reverse (5282112), we get a palindrome (7394937).

It can be divided in two parts, 2112 and 825, that multiplied together give a square (1742400 = 13202).

The spelling of 2112825 in words is "two million, one hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 197 275 325 429 591 715 825 975 985 2145 2167 2561 2955 3575 4925 6501 7683 10725 10835 12805 14775 28171 32505 38415 54175 64025 84513 140855 162525 192075 422565 704275 2112825