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2225344 = 261129109
BaseRepresentation
bin1000011111010011000000
311012001121011
420133103000
51032202334
6115410304
724625612
oct10372300
94161534
102225344
11128aa30
128b3994
135cbb94
1441cdb2
152de564
hex21f4c0

2225344 has 56 divisors (see below), whose sum is σ = 5029200. Its totient is φ = 967680.

The previous prime is 2225339. The next prime is 2225371. The reversal of 2225344 is 4435222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 213 + 215 + 221 + 55 + 37 + 47 + 48 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20362 + ... + 20470.

22225344 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 2225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514600).

2225344 is an abundant number, since it is smaller than the sum of its proper divisors (2803856).

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

2225344 is a wasteful number, since it uses less digits than its factorization.

2225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its digits is 1920, while the sum is 22.

The square root of 2225344 is about 1491.7586936231. The cubic root of 2225344 is about 130.5566661811.

The spelling of 2225344 in words is "two million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 109 116 176 218 232 319 352 436 464 638 704 872 928 1199 1276 1744 1856 2398 2552 3161 3488 4796 5104 6322 6976 9592 10208 12644 19184 20416 25288 34771 38368 50576 69542 76736 101152 139084 202304 278168 556336 1112672 2225344