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2244220100 = 225229773869
BaseRepresentation
bin1000010111000100…
…0001010011000100
312210101220012012222
42011301001103010
514044010020400
61010405231512
7106420361513
oct20561012304
95711805188
102244220100
11a51892861
12527702598
13299c44cb5
141740ac67a
15d2054185
hex85c414c4

2244220100 has 36 divisors (see below), whose sum is σ = 5037893700. Its totient is φ = 866732160.

The previous prime is 2244220067. The next prime is 2244220103. The reversal of 2244220100 is 10224422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 82156096 + 2162064004 = 9064^2 + 46498^2 .

It is not an unprimeable number, because it can be changed into a prime (2244220103) by changing a digit.

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, 384035 + ... + 389834.

Almost surely, 22244220100 is an apocalyptic number.

2244220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244220100 is an abundant number, since it is smaller than the sum of its proper divisors (2793673600).

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

2244220100 is a wasteful number, since it uses less digits than its factorization.

2244220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773912 (or 773905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2244220100 is about 47373.2002296657. The cubic root of 2244220100 is about 1309.2476887818.

Adding to 2244220100 its reverse (10224422), we get a palindrome (2254444522).

The spelling of 2244220100 in words is "two billion, two hundred forty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 773869 1547738 3095476 3869345 7738690 15477380 19346725 22442201 38693450 44884402 77386900 89768804 112211005 224422010 448844020 561055025 1122110050 2244220100