Search a number
-
+
2122220000000 = 2857293659
BaseRepresentation
bin11110111000011110001…
…010110101001100000000
321111212211011100010221202
4132320132022311030000
5234232301310000000
64302533455440332
7306216406235462
oct36703612651400
97455734303852
102122220000000
11749034955851
122a33732260a8
131251806634b9
1474a0499c132
153a30cd00dd5
hex1ee1e2b5300

2122220000000 has 288 divisors, whose sum is σ = 5479263316800. Its totient is φ = 819392000000.

The previous prime is 2122219999981. The next prime is 2122220000023. The reversal of 2122220000000 is 222212.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 579998171 + ... + 580001829.

It is an arithmetic number, because the mean of its divisors is an integer number (19025219850).

Almost surely, 22122220000000 is an apocalyptic number.

2122220000000 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 2122220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739631658400).

2122220000000 is an abundant number, since it is smaller than the sum of its proper divisors (3357043316800).

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

2122220000000 is an frugal number, since it uses more digits than its factorization.

2122220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2122220000000 its reverse (222212), we get a palindrome (2122220222212).

The spelling of 2122220000000 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million", and thus it is an aban number.