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2242125 = 32531993
BaseRepresentation
bin1000100011011001001101
311012220121200
420203121031
51033222000
6120020113
725025544
oct10433115
94186550
102242125
1112a15a6
12901639
13606702
1442515b
152e4500
hex22364d

2242125 has 24 divisors (see below), whose sum is σ = 4043832. Its totient is φ = 1195200.

The previous prime is 2242111. The next prime is 2242127. The reversal of 2242125 is 5212422.

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 2223081 = 138^2 + 1491^2 .

It is not a de Polignac number, because 2242125 - 221 = 144973 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2242098 and 2242107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (168493).

22242125 is an apocalyptic number.

2242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2242125 is a deficient number, since it is larger than the sum of its proper divisors (1801707).

2242125 is a wasteful number, since it uses less digits than its factorization.

2242125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2001 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2242125 is about 1497.3726990967. The cubic root of 2242125 is about 130.8840144255.

Adding to 2242125 its reverse (5212422), we get a palindrome (7454547).

The spelling of 2242125 in words is "two million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1993 5979 9965 17937 29895 49825 89685 149475 249125 448425 747375 2242125