Search a number
-
+
22557 = 373103
BaseRepresentation
bin101100000011101
31010221110
411200131
51210212
6252233
7122523
oct54035
933843
1022557
1115a47
1211079
13a362
148313
156a3c
hex581d

22557 has 8 divisors (see below), whose sum is σ = 30784. Its totient is φ = 14688.

The previous prime is 22549. The next prime is 22567. The reversal of 22557 is 75522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22557 - 23 = 22549 is a prime.

It is a d-powerful number, because it can be written as 210 + 212 + 5 + 54 + 75 .

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3848).

222557 is an apocalyptic number.

It is an amenable number.

22557 is a deficient number, since it is larger than the sum of its proper divisors (8227).

22557 is a wasteful number, since it uses less digits than its factorization.

22557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 700, while the sum is 21.

The square root of 22557 is about 150.1898798188. The cubic root of 22557 is about 28.2549003429.

Adding to 22557 its sum of digits (21), we get a triangular number (22578 = T212).

It can be divided in two parts, 225 and 57, that added together give a palindrome (282).

The spelling of 22557 in words is "twenty-two thousand, five hundred fifty-seven".

Divisors: 1 3 73 103 219 309 7519 22557