Search a number
-
+
22224040100 = 2252222240401
BaseRepresentation
bin10100101100101001…
…111111000010100100
32010100211110012201022
4110230221333002210
5331003323240400
614113134150312
71414506136553
oct245451770244
963324405638
1022224040100
119474989299
124382952398
1321323a55b2
14110b81dd9a
158a1135b85
hex52ca7f0a4

22224040100 has 18 divisors (see below), whose sum is σ = 48226167234. Its totient is φ = 8889616000.

The previous prime is 22224040093. The next prime is 22224040133. The reversal of 22224040100 is 104042222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 131974144 + 22092065956 = 11488^2 + 148634^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 111120101 + ... + 111120300.

It is an arithmetic number, because the mean of its divisors is an integer number (2679231513).

Almost surely, 222224040100 is an apocalyptic number.

22224040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224040100 is an abundant number, since it is smaller than the sum of its proper divisors (26002127134).

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

22224040100 is a wasteful number, since it uses less digits than its factorization.

22224040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222240415 (or 222240408 counting only the distinct ones).

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

Adding to 22224040100 its reverse (104042222), we get a palindrome (22328082322).

The spelling of 22224040100 in words is "twenty-two billion, two hundred twenty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222240401 444480802 888961604 1111202005 2222404010 4444808020 5556010025 11112020050 22224040100