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2225244 = 223759449
BaseRepresentation
bin1000011111010001011100
311012001110110
420133101130
51032201434
6115410020
724625410
oct10372134
94161413
102225244
11128a94a
128b3910
135cbb18
1441cd40
152de4e9
hex21f45c

2225244 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 623616.

The previous prime is 2225233. The next prime is 2225263. The reversal of 2225244 is 4425222.

2225244 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2225244.

It is a congruent number.

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, 4732 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22225244 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 2225244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2225244 is an abundant number, since it is smaller than the sum of its proper divisors (3822756).

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

2225244 is a wasteful number, since it uses less digits than its factorization.

2225244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its digits is 1280, while the sum is 21.

The square root of 2225244 is about 1491.7251757613. The cubic root of 2225244 is about 130.5547105490.

The spelling of 2225244 in words is "two million, two hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 449 708 826 898 1239 1347 1652 1796 2478 2694 3143 4956 5388 6286 9429 12572 18858 26491 37716 52982 79473 105964 158946 185437 317892 370874 556311 741748 1112622 2225244