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2213344 = 25741241
BaseRepresentation
bin1000011100010111100000
311011110010201
420130113200
51031311334
6115234544
724545620
oct10342740
94143121
102213344
111281a11
128a8a54
135c6593
14418880
152dac14
hex21c5e0

2213344 has 48 divisors (see below), whose sum is σ = 5122656. Its totient is φ = 921600.

The previous prime is 2213327. The next prime is 2213347. The reversal of 2213344 is 4433122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9064 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

22213344 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 2213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561328).

2213344 is an abundant number, since it is smaller than the sum of its proper divisors (2909312).

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

2213344 is a wasteful number, since it uses less digits than its factorization.

2213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 2213344 is about 1487.7311585095. The cubic root of 2213344 is about 130.3215707638.

Adding to 2213344 its reverse (4433122), we get a palindrome (6646466).

It can be divided in two parts, 22 and 13344, that added together give a triangular number (13366 = T163).

The spelling of 2213344 in words is "two million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 241 287 328 482 574 656 964 1148 1312 1687 1928 2296 3374 3856 4592 6748 7712 9184 9881 13496 19762 26992 39524 53984 69167 79048 138334 158096 276668 316192 553336 1106672 2213344