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22021034200 = 235211193971327
BaseRepresentation
bin10100100000100011…
…100101000011011000
32002211200110102222021
4110200203211003120
5330044341043300
614041043104224
71406462462614
oct244043450330
962750412867
1022021034200
119380332a20
124326972074
1320cc308069
1410cc898344
1588d3d5d1a
hex5208e50d8

22021034200 has 192 divisors, whose sum is σ = 58985510400. Its totient is φ = 7561382400.

The previous prime is 22021034197. The next prime is 22021034209. The reversal of 22021034200 is 243012022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021034209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16593937 + ... + 16595263.

It is an arithmetic number, because the mean of its divisors is an integer number (307216200).

Almost surely, 222021034200 is an apocalyptic number.

22021034200 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 22021034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29492755200).

22021034200 is an abundant number, since it is smaller than the sum of its proper divisors (36964476200).

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

22021034200 is a wasteful number, since it uses less digits than its factorization.

22021034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22021034200 its reverse (243012022), we get a palindrome (22264046222).

The spelling of 22021034200 in words is "twenty-two billion, twenty-one million, thirty-four thousand, two hundred".