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222130111200 = 253528310511061
BaseRepresentation
bin1100111011011111111…
…1001000001011100000
3210020100121222210222120
43032313333020023200
512114410302024300
6250013431104240
722022406535434
oct3166777101340
9706317883876
10222130111200
11862287252a8
1237072b12080
1317c400c842a
14aa732509c4
155ba12043a0
hex33b7fc82e0

222130111200 has 288 divisors, whose sum is σ = 733131326592. Its totient is φ = 58410240000.

The previous prime is 222130111187. The next prime is 222130111207. The reversal of 222130111200 is 2111031222.

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 222130111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222130111207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209358670 + ... + 209359730.

It is an arithmetic number, because the mean of its divisors is an integer number (2545594884).

Almost surely, 2222130111200 is an apocalyptic number.

222130111200 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 222130111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366565663296).

222130111200 is an abundant number, since it is smaller than the sum of its proper divisors (511001215392).

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

222130111200 is a wasteful number, since it uses less digits than its factorization.

222130111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 222130111200 its reverse (2111031222), we get a palindrome (224241142422).

The spelling of 222130111200 in words is "two hundred twenty-two billion, one hundred thirty million, one hundred eleven thousand, two hundred".