Search a number
-
+
22044960 = 253957
BaseRepresentation
bin101010000011…
…0000100100000
31112111000000000
41110012010200
521120414320
62104300000
7355244010
oct124060440
945430000
1022044960
1111497783
127471600
13474b172
142cdbc40
151e06c90
hex1506120

22044960 has 240 divisors, whose sum is σ = 89280576. Its totient is φ = 5038848.

The previous prime is 22044949. The next prime is 22044961. The reversal of 22044960 is 6944022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220449602 = 971960522803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22044961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3149277 + ... + 3149283.

Almost surely, 222044960 is an apocalyptic number.

22044960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22044960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640288).

22044960 is an abundant number, since it is smaller than the sum of its proper divisors (67235616).

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

22044960 is an frugal number, since it uses more digits than its factorization.

22044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22044960 is about 4695.2060657654. The cubic root of 22044960 is about 280.3946815000.

Adding to 22044960 its reverse (6944022), we get a palindrome (28988982).

The spelling of 22044960 in words is "twenty-two million, forty-four thousand, nine hundred sixty".