Search a number
-
+
22245216 = 253724729
BaseRepresentation
bin101010011011…
…0111101100000
31112212011200220
41110312331200
521143321331
62112443040
7360036600
oct124667540
945764626
1022245216
1111614184
127549480
1347bb366
142d50c00
151e46296
hex1536f60

22245216 has 72 divisors (see below), whose sum is σ = 67941720. Its totient is φ = 6354432.

The previous prime is 22245211. The next prime is 22245227. The reversal of 22245216 is 61254222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22245211) 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, 2340 + ... + 7068.

It is an arithmetic number, because the mean of its divisors is an integer number (943635).

Almost surely, 222245216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33970860).

22245216 is an abundant number, since it is smaller than the sum of its proper divisors (45696504).

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

22245216 is a wasteful number, since it uses less digits than its factorization.

22245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4741 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 22245216 is about 4716.4834357814. The cubic root of 22245216 is about 281.2411568578.

Adding to 22245216 its reverse (61254222), we get a palindrome (83499438).

The spelling of 22245216 in words is "twenty-two million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 4729 9458 14187 18916 28374 33103 37832 56748 66206 75664 99309 113496 132412 151328 198618 226992 231721 264824 397236 453984 463442 529648 695163 794472 926884 1059296 1390326 1588944 1853768 2780652 3177888 3707536 5561304 7415072 11122608 22245216