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2224764 = 2232292131
BaseRepresentation
bin1000011111001001111100
311012000210200
420133021330
51032143024
6115403500
724624123
oct10371174
94160720
102224764
11128a553
128b3590
135cb839
1441caba
152de2c9
hex21f27c

2224764 has 36 divisors (see below), whose sum is σ = 5820360. Its totient is φ = 715680.

The previous prime is 2224763. The next prime is 2224801. The reversal of 2224764 is 4674222.

It is a happy number.

2224764 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 2109.

22224764 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 2224764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910180).

2224764 is an abundant number, since it is smaller than the sum of its proper divisors (3595596).

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

2224764 is a wasteful number, since it uses less digits than its factorization.

2224764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2165 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2224764 is about 1491.5642795401. The cubic root of 2224764 is about 130.5453226995.

Adding to 2224764 its reverse (4674222), we get a palindrome (6898986).

The spelling of 2224764 in words is "two million, two hundred twenty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2131 4262 6393 8524 12786 19179 25572 38358 61799 76716 123598 185397 247196 370794 556191 741588 1112382 2224764