Search a number
-
+
22021222000 = 2453172311229
BaseRepresentation
bin10100100000100100…
…010010111001110000
32002211200210222120211
4110200210102321300
5330044413101000
614041051113504
71406464204261
oct244044227160
962750728524
1022021222000
119380451028
124326a42894
1320cc37269b
1410cc906968
1588d4217ba
hex520912e70

22021222000 has 240 divisors, whose sum is σ = 58435902720. Its totient is φ = 8016384000.

The previous prime is 22021221967. The next prime is 22021222019. The reversal of 22021222000 is 22212022.

It is a congruent number.

It is an unprimeable number.

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, 17917386 + ... + 17918614.

It is an arithmetic number, because the mean of its divisors is an integer number (243482928).

Almost surely, 222021222000 is an apocalyptic number.

22021222000 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 22021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29217951360).

22021222000 is an abundant number, since it is smaller than the sum of its proper divisors (36414680720).

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

22021222000 is a wasteful number, since it uses less digits than its factorization.

22021222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22021222000 its reverse (22212022), we get a palindrome (22043434022).

The spelling of 22021222000 in words is "twenty-two billion, twenty-one million, two hundred twenty-two thousand".