Search a number
-
+
22260100 = 2252222601
BaseRepresentation
bin101010011101…
…0100110000100
31112212221010011
41110322212010
521144310400
62113040004
7360131152
oct124724604
945787104
1022260100
1111624385
127556004
1347c5075
142d563d2
151e4a8ba
hex153a984

22260100 has 18 divisors (see below), whose sum is σ = 48304634. Its totient is φ = 8904000.

The previous prime is 22260079. The next prime is 22260103. The reversal of 22260100 is 106222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 22259524 = 24^2 + 4718^2 .

It is not an unprimeable number, because it can be changed into a prime (22260103) 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 5 ways as a sum of consecutive naturals, for example, 111201 + ... + 111400.

Almost surely, 222260100 is an apocalyptic number.

22260100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22260100 is an abundant number, since it is smaller than the sum of its proper divisors (26044534).

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

22260100 is a wasteful number, since it uses less digits than its factorization.

22260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222615 (or 222608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22260100 is about 4718.0610424199. The cubic root of 22260100 is about 281.3038678713.

Adding to 22260100 its reverse (106222), we get a palindrome (22366322).

The spelling of 22260100 in words is "twenty-two million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222601 445202 890404 1113005 2226010 4452020 5565025 11130050 22260100