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221322200112 = 2432131910161609
BaseRepresentation
bin1100111000011111010…
…1001100010000110000
3210011021022202200022200
43032013311030100300
512111231440400422
6245401330503200
721663366442506
oct3160765142060
9704238680280
10221322200112
1185953680792
1236a88434b00
1317b41905730
14a9d7c26676
155b553182ac
hex3387d4c430

221322200112 has 240 divisors, whose sum is σ = 709111384800. Its totient is φ = 63875174400.

The previous prime is 221322200111. The next prime is 221322200117. The reversal of 221322200112 is 211002223122.

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

It is not an unprimeable number, because it can be changed into a prime (221322200111) 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 47 ways as a sum of consecutive naturals, for example, 3561564 + ... + 3623172.

It is an arithmetic number, because the mean of its divisors is an integer number (2954630770).

Almost surely, 2221322200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221322200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354555692400).

221322200112 is an abundant number, since it is smaller than the sum of its proper divisors (487789184688).

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

221322200112 is a wasteful number, since it uses less digits than its factorization.

221322200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61756 (or 61747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221322200112 its reverse (211002223122), we get a palindrome (432324423234).

The spelling of 221322200112 in words is "two hundred twenty-one billion, three hundred twenty-two million, two hundred thousand, one hundred twelve".