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200222331120 = 24325762696337
BaseRepresentation
bin1011101001111000101…
…1100101000011110000
3201010210211122021110100
42322132023211003300
511240023404043440
6231551511232400
720315460506460
oct2723613450360
9633724567410
10200222331120
1177a06316929
123297a078700
1315b5b3c4956
149995837ba0
15531cc40230
hex2e9e2e50f0

200222331120 has 240 divisors, whose sum is σ = 768716245440. Its totient is φ = 45750583296.

The previous prime is 200222331119. The next prime is 200222331161. The reversal of 200222331120 is 21133222002.

200222331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 200222331093 and 200222331102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31592592 + ... + 31598928.

It is an arithmetic number, because the mean of its divisors is an integer number (3202984356).

Almost surely, 2200222331120 is an apocalyptic number.

200222331120 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 200222331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384358122720).

200222331120 is an abundant number, since it is smaller than the sum of its proper divisors (568493914320).

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

200222331120 is a wasteful number, since it uses less digits than its factorization.

200222331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200222331120 its reverse (21133222002), we get a palindrome (221355553122).

The spelling of 200222331120 in words is "two hundred billion, two hundred twenty-two million, three hundred thirty-one thousand, one hundred twenty".