Search a number
-
+
22027200 = 2635213353
BaseRepresentation
bin101010000000…
…1101111000000
31112110002122020
41110001233000
521114332300
62104041440
7355141146
oct124015700
945402566
1022027200
11114853a8
127463280
134743060
142cd5596
151e018a0
hex1501bc0

22027200 has 168 divisors, whose sum is σ = 78047088. Its totient is φ = 5406720.

The previous prime is 22027199. The next prime is 22027207. The reversal of 22027200 is 272022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22027200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22027207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62224 + ... + 62576.

It is an arithmetic number, because the mean of its divisors is an integer number (464566).

Almost surely, 222027200 is an apocalyptic number.

22027200 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 22027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39023544).

22027200 is an abundant number, since it is smaller than the sum of its proper divisors (56019888).

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

22027200 is a wasteful number, since it uses less digits than its factorization.

22027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 22027200 is about 4693.3143939012. The cubic root of 22027200 is about 280.3193634918.

Adding to 22027200 its reverse (272022), we get a palindrome (22299222).

It can be divided in two parts, 2 and 2027200, that added together give a palindrome (2027202).

The spelling of 22027200 in words is "twenty-two million, twenty-seven thousand, two hundred".