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22123210200 = 233527133747233
BaseRepresentation
bin10100100110101001…
…010110010111011000
32010002210201112002120
4110212221112113120
5330302020211300
614055133101240
71412143120050
oct244651262730
963083645076
1022123210200
119422a802a3
124355027820
132117531130
1410dc294560
1589736a3a0
hex526a565d8

22123210200 has 768 divisors, whose sum is σ = 88914309120. Its totient is φ = 4425891840.

The previous prime is 22123210199. The next prime is 22123210211. The reversal of 22123210200 is 201232122.

It is a happy number.

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 22123210200.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 94949284 + ... + 94949516.

It is an arithmetic number, because the mean of its divisors is an integer number (115773840).

Almost surely, 222123210200 is an apocalyptic number.

22123210200 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 22123210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

22123210200 is an abundant number, since it is smaller than the sum of its proper divisors (66791098920).

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

22123210200 is a wasteful number, since it uses less digits than its factorization.

22123210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22123210200 its reverse (201232122), we get a palindrome (22324442322).

The spelling of 22123210200 in words is "twenty-two billion, one hundred twenty-three million, two hundred ten thousand, two hundred".