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22131232200 = 233252721122811
BaseRepresentation
bin10100100111000111…
…111100110111001000
32010010100211002012200
4110213013330313020
5330311043412300
614100021040200
71412301240600
oct244707746710
963110732180
1022131232200
11942755a350
124357856060
1321190ac58c
1410dd381c00
15897e02200
hex5271fcdc8

22131232200 has 432 divisors, whose sum is σ = 94322601360. Its totient is φ = 4598496000.

The previous prime is 22131232171. The next prime is 22131232219. The reversal of 22131232200 is 223213122.

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

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 107 ways as a sum of consecutive naturals, for example, 958795 + ... + 981605.

It is an arithmetic number, because the mean of its divisors is an integer number (218339355).

Almost surely, 222131232200 is an apocalyptic number.

22131232200 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 22131232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47161300680).

22131232200 is an abundant number, since it is smaller than the sum of its proper divisors (72191369160).

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

22131232200 is a wasteful number, since it uses less digits than its factorization.

22131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22839 counting only the distinct ones).

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

Adding to 22131232200 its reverse (223213122), we get a palindrome (22354445322).

The spelling of 22131232200 in words is "twenty-two billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".