Search a number
-
+
22114432 = 27197877
BaseRepresentation
bin101010001011…
…1000010000000
31112121112022001
41110113002000
521130130212
62105553344
7355653364
oct124270200
945545261
1022114432
111153499a
1274a5854
134773982
142d192a4
151e1c657
hex1517080

22114432 has 32 divisors (see below), whose sum is σ = 44330220. Its totient is φ = 10988544.

The previous prime is 22114387. The next prime is 22114451. The reversal of 22114432 is 23441122.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 5271616 = 4104^2 + 2296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24778 + ... + 25654.

Almost surely, 222114432 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 22114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165110).

22114432 is an abundant number, since it is smaller than the sum of its proper divisors (22215788).

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

22114432 is an equidigital number, since it uses as much as digits as its factorization.

22114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 22114432 is about 4702.5984306551. The cubic root of 22114432 is about 280.6889158368.

Adding to 22114432 its reverse (23441122), we get a palindrome (45555554).

The spelling of 22114432 in words is "twenty-two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 197 394 788 877 1576 1754 3152 3508 6304 7016 12608 14032 25216 28064 56128 112256 172769 345538 691076 1382152 2764304 5528608 11057216 22114432