Search a number
-
+
22213211200 = 2652293115443
BaseRepresentation
bin10100101100000000…
…101011010001000000
32010100002002001020221
4110230000223101000
5330443040224300
614112110112424
71414315115455
oct245400532100
963302061227
1022213211200
119469862394
12437b1ab714
13213008366b
14110a20182c
158a01e731a
hex52c02b440

22213211200 has 168 divisors, whose sum is σ = 58370906880. Its totient is φ = 8301619200.

The previous prime is 22213211197. The next prime is 22213211203. The reversal of 22213211200 is 211231222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22213211197) and next prime (22213211203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22213211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430679 + ... + 1446121.

Almost surely, 222213211200 is an apocalyptic number.

22213211200 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 22213211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185453440).

22213211200 is an abundant number, since it is smaller than the sum of its proper divisors (36157695680).

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

22213211200 is a wasteful number, since it uses less digits than its factorization.

22213211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15525 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22213211200 its reverse (211231222), we get a palindrome (22424442422).

It can be divided in two parts, 222132 and 11200, that added together give a palindrome (233332).

The spelling of 22213211200 in words is "twenty-two billion, two hundred thirteen million, two hundred eleven thousand, two hundred".