Search a number
-
+
22105220 = 2251105261
BaseRepresentation
bin101010001010…
…0110010000100
31112121001122212
41110110302010
521124331340
62105442552
7355614464
oct124246204
945531585
1022105220
1111528a85
1274a0458
13476c717
142d15ba4
151e19a65
hex1514c84

22105220 has 12 divisors (see below), whose sum is σ = 46421004. Its totient is φ = 8842080.

The previous prime is 22105217. The next prime is 22105229. The reversal of 22105220 is 2250122.

It can be written as a sum of positive squares in 2 ways, for example, as 3511876 + 18593344 = 1874^2 + 4312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22105195 and 22105204.

It is not an unprimeable number, because it can be changed into a prime (22105229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552611 + ... + 552650.

It is an arithmetic number, because the mean of its divisors is an integer number (3868417).

Almost surely, 222105220 is an apocalyptic number.

22105220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105220 is an abundant number, since it is smaller than the sum of its proper divisors (24315784).

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

22105220 is a wasteful number, since it uses less digits than its factorization.

22105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105270 (or 1105268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22105220 is about 4701.6188701340. The cubic root of 22105220 is about 280.6499357805.

Adding to 22105220 its reverse (2250122), we get a palindrome (24355342).

The spelling of 22105220 in words is "twenty-two million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1105261 2210522 4421044 5526305 11052610 22105220