Search a number
-
+
22145364 = 2232617997
BaseRepresentation
bin101010001111…
…0100101010100
31112200002201200
41110132211110
521132122424
62110352500
7356142513
oct124364524
945602650
1022145364
111155615a
1274bb730
134784a87
142d2667a
151e268c9
hex151e954

22145364 has 36 divisors (see below), whose sum is σ = 56125524. Its totient is φ = 7362432.

The previous prime is 22145363. The next prime is 22145411. The reversal of 22145364 is 46354122.

It can be written as a sum of positive squares in 2 ways, for example, as 8749764 + 13395600 = 2958^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21714 + ... + 22710.

Almost surely, 222145364 is an apocalyptic number.

It is an amenable number.

22145364 is an abundant number, since it is smaller than the sum of its proper divisors (33980160).

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

22145364 is a wasteful number, since it uses less digits than its factorization.

22145364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 22145364 is about 4705.8861014691. The cubic root of 22145364 is about 280.8197236980.

Adding to 22145364 its reverse (46354122), we get a palindrome (68499486).

The spelling of 22145364 in words is "twenty-two million, one hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 617 997 1234 1851 1994 2468 2991 3702 3988 5553 5982 7404 8973 11106 11964 17946 22212 35892 615149 1230298 1845447 2460596 3690894 5536341 7381788 11072682 22145364