Search a number
-
+
22505352 = 2333312833
BaseRepresentation
bin101010111011…
…0011110001000
31120100101112120
41111312132020
521230132402
62122211240
7362202162
oct125663610
946311476
1022505352
1111781671
127653b20
13487c89c
142dbb932
151e983bc
hex1576788

22505352 has 32 divisors (see below), whose sum is σ = 56453280. Its totient is φ = 7476480.

The previous prime is 22505333. The next prime is 22505369. The reversal of 22505352 is 25350522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6528 + ... + 9360.

It is an arithmetic number, because the mean of its divisors is an integer number (1764165).

Almost surely, 222505352 is an apocalyptic number.

It is an amenable number.

22505352 is an abundant number, since it is smaller than the sum of its proper divisors (33947928).

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

22505352 is a wasteful number, since it uses less digits than its factorization.

22505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 22505352 is about 4743.9806070430. The cubic root of 22505352 is about 282.3331910001. Note that the first 3 decimals are identical.

Adding to 22505352 its reverse (25350522), we get a palindrome (47855874).

The spelling of 22505352 in words is "twenty-two million, five hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 2833 3972 5666 7944 8499 11332 16998 22664 33996 67992 937723 1875446 2813169 3750892 5626338 7501784 11252676 22505352