Search a number
-
+
22064130 = 233511171923
BaseRepresentation
bin101010000101…
…0110000000010
31112111222022000
41110022300002
521122023010
62104524430
7355353624
oct124126002
945458260
1022064130
1111500120
127480716
134756aca
142d04c14
151e0c7c0
hex150ac02

22064130 has 256 divisors, whose sum is σ = 74649600. Its totient is φ = 4561920.

The previous prime is 22064123. The next prime is 22064131. The reversal of 22064130 is 3146022.

It is a happy number.

22064130 is a `hidden beast` number, since 2 + 20 + 641 + 3 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22064131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 959299 + ... + 959321.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 222064130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22064130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

22064130 is an abundant number, since it is smaller than the sum of its proper divisors (52585470).

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

22064130 is a wasteful number, since it uses less digits than its factorization.

22064130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

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

The square root of 22064130 is about 4697.2470661016. The cubic root of 22064130 is about 280.4759337641.

It can be divided in two parts, 2206 and 4130, that added together give a palindrome (6336).

The spelling of 22064130 in words is "twenty-two million, sixty-four thousand, one hundred thirty".