Search a number
-
+
2225844 = 2232173637
BaseRepresentation
bin1000011111011010110100
311012002021200
420133122310
51032211334
6115412500
724630225
oct10373264
94162250
102225844
111290345
128b4130
135cc18a
1441d24c
152de799
hex21f6b4

2225844 has 36 divisors (see below), whose sum is σ = 5959044. Its totient is φ = 698112.

The previous prime is 2225833. The next prime is 2225851. The reversal of 2225844 is 4485222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 756900 + 1468944 = 870^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (165529).

22225844 is an apocalyptic number.

It is an amenable number.

2225844 is an abundant number, since it is smaller than the sum of its proper divisors (3733200).

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

2225844 is a wasteful number, since it uses less digits than its factorization.

2225844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3659 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2225844 is about 1491.9262716368. The cubic root of 2225844 is about 130.5664434626.

The spelling of 2225844 in words is "two million, two hundred twenty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3637 7274 10911 14548 21822 32733 43644 61829 65466 123658 130932 185487 247316 370974 556461 741948 1112922 2225844