Search a number
-
+
22224085 = 5131811889
BaseRepresentation
bin101010011000…
…1110011010101
31112211002201021
41110301303111
521142132320
62112201141
7356621152
oct124616325
945732637
1022224085
11115aa314
1275391b1
1347b1860
142d47229
151e3edaa
hex1531cd5

22224085 has 16 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 16312320.

The previous prime is 22224079. The next prime is 22224089. The reversal of 22224085 is 58042222.

It can be written as a sum of positive squares in 8 ways, for example, as 7409284 + 14814801 = 2722^2 + 3849^2 .

It is not a de Polignac number, because 22224085 - 221 = 20126933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10821 + ... + 12709.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 222224085 is an apocalyptic number.

It is an amenable number.

22224085 is a deficient number, since it is larger than the sum of its proper divisors (6670235).

22224085 is a wasteful number, since it uses less digits than its factorization.

22224085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 22224085 is about 4714.2427811898. The cubic root of 22224085 is about 281.1520771859.

The spelling of 22224085 in words is "twenty-two million, two hundred twenty-four thousand, eighty-five".

Divisors: 1 5 13 65 181 905 1889 2353 9445 11765 24557 122785 341909 1709545 4444817 22224085