Search a number
-
+
22330224 = 2432722153
BaseRepresentation
bin101010100101…
…1101101110000
31120000111022100
41111023231300
521204031344
62114340400
7360542460
oct125135560
946014270
1022330224
1111672034
12758a700
13481ac67
142d73ba0
151e61569
hex154bb70

22330224 has 60 divisors (see below), whose sum is σ = 71424496. Its totient is φ = 6379776.

The previous prime is 22330223. The next prime is 22330247. The reversal of 22330224 is 42203322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22330197 and 22330206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330223) 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 11 ways as a sum of consecutive naturals, for example, 10069 + ... + 12084.

Almost surely, 222330224 is an apocalyptic number.

22330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22330224 is an abundant number, since it is smaller than the sum of its proper divisors (49094272).

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

22330224 is a wasteful number, since it uses less digits than its factorization.

22330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22174 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22330224 is about 4725.4866416063. The cubic root of 22330224 is about 281.5989470303.

Adding to 22330224 its reverse (42203322), we get a palindrome (64533546).

The spelling of 22330224 in words is "twenty-two million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 22153 44306 66459 88612 132918 155071 177224 199377 265836 310142 354448 398754 465213 531672 620284 797508 930426 1063344 1240568 1395639 1595016 1860852 2481136 2791278 3190032 3721704 5582556 7443408 11165112 22330224