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2244896 = 2531273
BaseRepresentation
bin1000100100000100100000
311020001102022
420210010200
51033314041
6120041012
725036613
oct10440440
94201368
102244896
1112a3695
12903168
13607a54
1442617a
152e524b
hex224120

2244896 has 36 divisors (see below), whose sum is σ = 4629366. Its totient is φ = 1071360.

The previous prime is 2244883. The next prime is 2244899. The reversal of 2244896 is 6984422.

It can be written as a sum of positive squares in only one way, i.e., 1860496 + 384400 = 1364^2 + 620^2 .

It is not an unprimeable number, because it can be changed into a prime (2244899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30716 + ... + 30788.

22244896 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 2244896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314683).

2244896 is an abundant number, since it is smaller than the sum of its proper divisors (2384470).

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

2244896 is an equidigital number, since it uses as much as digits as its factorization.

2244896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 2244896 is about 1498.2977007257. The cubic root of 2244896 is about 130.9379112565.

The spelling of 2244896 in words is "two million, two hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 961 992 1168 1922 2263 2336 3844 4526 7688 9052 15376 18104 30752 36208 70153 72416 140306 280612 561224 1122448 2244896