Search a number
-
+
22572022200 = 23352713795233
BaseRepresentation
bin10101000001011001…
…011011100110111000
32011021002020112102020
4111001121123212320
5332211414202300
614211444434440
71426233010620
oct250131334670
964232215366
1022572022200
119633355402
12445b3a8a20
132189503170
141141b23880
158c19718a0
hex54165b9b8

22572022200 has 384 divisors, whose sum is σ = 87227750400. Its totient is φ = 4701265920.

The previous prime is 22572022189. The next prime is 22572022201. The reversal of 22572022200 is 222027522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22572022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4310784 + ... + 4316016.

It is an arithmetic number, because the mean of its divisors is an integer number (227155600).

Almost surely, 222572022200 is an apocalyptic number.

22572022200 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 22572022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43613875200).

22572022200 is an abundant number, since it is smaller than the sum of its proper divisors (64655728200).

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

22572022200 is a wasteful number, since it uses less digits than its factorization.

22572022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

Adding to 22572022200 its reverse (222027522), we get a palindrome (22794049722).

The spelling of 22572022200 in words is "twenty-two billion, five hundred seventy-two million, twenty-two thousand, two hundred".