Search a number
-
+
2202200220100 = 225227779501813
BaseRepresentation
bin100000000010111101010…
…111001010000111000100
321210112021010020022000211
4200002331113022013010
5242040101224020400
64403402105245204
7315050401005646
oct40027527120704
97715233208024
102202200220100
11779a47681a01
122b6974493804
1312c88866111a
1478830c68896
153c43e6b3dba
hex200bd5ca1c4

2202200220100 has 36 divisors (see below), whose sum is σ = 4796026431364. Its totient is φ = 877700004480.

The previous prime is 2202200220091. The next prime is 2202200220107. The reversal of 2202200220100 is 10220022022.

It can be written as a sum of positive squares in 6 ways, for example, as 232399198084 + 1969801022016 = 482078^2 + 1403496^2 .

It is not an unprimeable number, because it can be changed into a prime (2202200220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39723207 + ... + 39778606.

Almost surely, 22202200220100 is an apocalyptic number.

2202200220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202200220100 is an abundant number, since it is smaller than the sum of its proper divisors (2593826211264).

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

2202200220100 is a wasteful number, since it uses less digits than its factorization.

2202200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79502104 (or 79502097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2202200220100 its reverse (10220022022), we get a palindrome (2212420242122).

The spelling of 2202200220100 in words is "two trillion, two hundred two billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 5540 6925 13850 27700 79501813 159003626 318007252 397509065 795018130 1590036260 1987545325 3975090650 7950181300 22022002201 44044004402 88088008804 110110011005 220220022010 440440044020 550550055025 1101100110050 2202200220100