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2225124 = 2233111873
BaseRepresentation
bin1000011111001111100100
311012001022000
420133033210
51032200444
6115405300
724625146
oct10371744
94161260
102225124
11128a850
128b3830
135cba55
1441cc96
152de469
hex21f3e4

2225124 has 48 divisors (see below), whose sum is σ = 6296640. Its totient is φ = 673920.

The previous prime is 2225123. The next prime is 2225159. The reversal of 2225124 is 4215222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225097 and 2225106.

It is not an unprimeable number, because it can be changed into a prime (2225123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (131180).

22225124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148320).

2225124 is an abundant number, since it is smaller than the sum of its proper divisors (4071516).

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

2225124 is a wasteful number, since it uses less digits than its factorization.

2225124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

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

The square root of 2225124 is about 1491.6849533330. The cubic root of 2225124 is about 130.5523637132.

The spelling of 2225124 in words is "two million, two hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1873 3746 5619 7492 11238 16857 20603 22476 33714 41206 50571 61809 67428 82412 101142 123618 185427 202284 247236 370854 556281 741708 1112562 2225124