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2225826 = 23347877
BaseRepresentation
bin1000011111011010100010
311012002021000
420133122202
51032211301
6115412430
724630201
oct10373242
94162230
102225826
111290329
128b4116
135cc175
1441d238
152de786
hex21f6a2

2225826 has 32 divisors (see below), whose sum is σ = 5057280. Its totient is φ = 725328.

The previous prime is 2225819. The next prime is 2225833. The reversal of 2225826 is 6285222.

2225826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2225819) and next prime (2225833).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2225826.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (158040).

22225826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528640).

2225826 is an abundant number, since it is smaller than the sum of its proper divisors (2831454).

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

2225826 is a wasteful number, since it uses less digits than its factorization.

2225826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2225826 is about 1491.9202391549. The cubic root of 2225826 is about 130.5660915059.

The spelling of 2225826 in words is "two million, two hundred twenty-five thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 877 1269 1754 2538 2631 5262 7893 15786 23679 41219 47358 82438 123657 247314 370971 741942 1112913 2225826