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20221120200 = 23352314723131
BaseRepresentation
bin10010110101010001…
…011100111011001000
31221012020121100010210
4102311101130323020
5312403101321300
613142304441120
71314045454131
oct226521347310
957166540123
1020221120200
118637327996
123b040191a0
131ba34481a8
14d9b804c88
157d5398050
hex4b545cec8

20221120200 has 192 divisors, whose sum is σ = 66087198720. Its totient is φ = 5107104000.

The previous prime is 20221120181. The next prime is 20221120207. The reversal of 20221120200 is 202112202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20221120207) 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, 862635 + ... + 885765.

It is an arithmetic number, because the mean of its divisors is an integer number (344204160).

Almost surely, 220221120200 is an apocalyptic number.

20221120200 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 20221120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33043599360).

20221120200 is an abundant number, since it is smaller than the sum of its proper divisors (45866078520).

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

20221120200 is a wasteful number, since it uses less digits than its factorization.

20221120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23228 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20221120200 its reverse (202112202), we get a palindrome (20423232402).

The spelling of 20221120200 in words is "twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".