Search a number
-
+
22355 = 517263
BaseRepresentation
bin101011101010011
31010122222
411131103
51203410
6251255
7122114
oct53523
933588
1022355
1115883
1210b2b
13a238
14820b
156955
hex5753

22355 has 8 divisors (see below), whose sum is σ = 28512. Its totient is φ = 16768.

The previous prime is 22349. The next prime is 22367. The reversal of 22355 is 55322.

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

It is a cyclic number.

It is not a de Polignac number, because 22355 - 26 = 22291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a d-powerful number, because it can be written as 24 + 27 + 38 + 52 + 56 .

It is a Duffinian number.

It is a plaindrome in base 9 and base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (3564).

222355 is an apocalyptic number.

22355 is a deficient number, since it is larger than the sum of its proper divisors (6157).

22355 is a wasteful number, since it uses less digits than its factorization.

22355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285.

The product of its digits is 300, while the sum is 17.

The square root of 22355 is about 149.5158854437. The cubic root of 22355 is about 28.1703055805.

Adding to 22355 its reverse (55322), we get a palindrome (77677).

It can be divided in two parts, 2235 and 5, that multiplied together give a triangular number (11175 = T149).

The spelling of 22355 in words is "twenty-two thousand, three hundred fifty-five".

Divisors: 1 5 17 85 263 1315 4471 22355