Search a number
-
+
22433112 = 2334132663
BaseRepresentation
bin101010110010…
…0110101011000
31120012201110000
41111210311120
521220324422
62120453000
7361451442
oct125446530
946181400
1022433112
1111732369
12761a160
134855a40
142d9d492
151e81cac
hex1564d58

22433112 has 80 divisors (see below), whose sum is σ = 67692240. Its totient is φ = 6899904.

The previous prime is 22433087. The next prime is 22433123. The reversal of 22433112 is 21133422.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7093 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (846153).

Almost surely, 222433112 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 22433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33846120).

22433112 is an abundant number, since it is smaller than the sum of its proper divisors (45259128).

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

22433112 is a wasteful number, since it uses less digits than its factorization.

22433112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2681 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22433112 is about 4736.3606281617. The cubic root of 22433112 is about 282.0307798001.

Adding to 22433112 its reverse (21133422), we get a palindrome (43566534).

The spelling of 22433112 in words is "twenty-two million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2663 2808 4212 5326 7989 8424 10652 15978 21304 23967 31956 34619 47934 63912 69238 71901 95868 103857 138476 143802 191736 207714 215703 276952 287604 311571 415428 431406 575208 623142 830856 862812 934713 1246284 1725624 1869426 2492568 2804139 3738852 5608278 7477704 11216556 22433112