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2244314000 = 24531122157
BaseRepresentation
bin1000010111000101…
…1000001110010000
312210102001222000202
42011301120032100
514044021022000
61010411234332
7106421232335
oct20561301620
95712058022
102244314000
11a51947365
125277489a8
13299c78966
141740d498c
15d2071dd5
hex85c58390

2244314000 has 40 divisors (see below), whose sum is σ = 5426756088. Its totient is φ = 897724800.

The previous prime is 2244313961. The next prime is 2244314003. The reversal of 2244314000 is 4134422.

It can be written as a sum of positive squares in 4 ways, for example, as 53699584 + 2190614416 = 7328^2 + 46804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2244314003) 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, 559079 + ... + 563078.

Almost surely, 22244314000 is an apocalyptic number.

2244314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244314000 is an abundant number, since it is smaller than the sum of its proper divisors (3182442088).

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

2244314000 is a wasteful number, since it uses less digits than its factorization.

2244314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122180 (or 1122164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2244314000 is about 47374.1912859734. The cubic root of 2244314000 is about 1309.2659485243.

Adding to 2244314000 its reverse (4134422), we get a palindrome (2248448422).

The spelling of 2244314000 in words is "two billion, two hundred forty-four million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1122157 2244314 4488628 5610785 8977256 11221570 17954512 22443140 28053925 44886280 56107850 89772560 112215700 140269625 224431400 280539250 448862800 561078500 1122157000 2244314000