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2242200200 = 235244325307
BaseRepresentation
bin1000010110100101…
…0100001010001000
312210021002120102212
42011221110022020
514043000401300
61010254044252
7106364246552
oct20551241210
95707076385
102242200200
11a50733219
12526aa9688
132996b87a6
14173b044d2
15d1ca5935
hex85a54288

2242200200 has 48 divisors (see below), whose sum is σ = 5225089680. Its totient is φ = 894820160.

The previous prime is 2242200179. The next prime is 2242200211. The reversal of 2242200200 is 20022422.

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 11 ways as a sum of consecutive naturals, for example, 75947 + ... + 101253.

It is an arithmetic number, because the mean of its divisors is an integer number (108856035).

Almost surely, 22242200200 is an apocalyptic number.

2242200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612544840).

2242200200 is an abundant number, since it is smaller than the sum of its proper divisors (2982889480).

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

2242200200 is a wasteful number, since it uses less digits than its factorization.

2242200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2242200200 is about 47351.8764147737. The cubic root of 2242200200 is about 1308.8547767543.

Adding to 2242200200 its reverse (20022422), we get a palindrome (2262222622).

The spelling of 2242200200 in words is "two billion, two hundred forty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 443 886 1772 2215 3544 4430 8860 11075 17720 22150 25307 44300 50614 88600 101228 126535 202456 253070 506140 632675 1012280 1265350 2530700 5061400 11211001 22422002 44844004 56055005 89688008 112110010 224220020 280275025 448440040 560550050 1121100100 2242200200