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11222000212200 = 23352151195163487
BaseRepresentation
bin1010001101001101001101…
…0101100001100011101000
31110201210221111012221100220
42203103103111201203220
52432330124023242300
635511152110330040
72235522424641561
oct243232325414350
943653844187326
1011222000212200
113637250621168
121312a951b9920
136352cb63a96b
142ab20d451168
15146d9b29eda0
hexa34d35618e8

11222000212200 has 192 divisors, whose sum is σ = 35037087006720. Its totient is φ = 2971144800000.

The previous prime is 11222000212141. The next prime is 11222000212201. The reversal of 11222000212200 is 221200022211.

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 11222000212200.

It is not an unprimeable number, because it can be changed into a prime (11222000212201) 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, 176728857 + ... + 176792343.

It is an arithmetic number, because the mean of its divisors is an integer number (182484828160).

Almost surely, 211222000212200 is an apocalyptic number.

11222000212200 is a gapful number since it is divisible by the number (10) 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 11222000212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518543503360).

11222000212200 is an abundant number, since it is smaller than the sum of its proper divisors (23815086794520).

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

11222000212200 is a wasteful number, since it uses less digits than its factorization.

11222000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65608 (or 65599 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11222000212200 its reverse (221200022211), we get a palindrome (11443200234411).

The spelling of 11222000212200 in words is "eleven trillion, two hundred twenty-two billion, two hundred twelve thousand, two hundred".