Search a number
-
+
2211034794000 = 243535912235107
BaseRepresentation
bin100000001011001011111…
…100011000100000010000
321211101001211001011002120
4200023023330120200100
5242211144401402000
64411422501014240
7315512334441114
oct40131374304020
97741054034076
102211034794000
1178277055504a
122b861b0b4380
13130665a70c46
147902c2db744
153c7aa0b56a0
hex202cbf18810

2211034794000 has 320 divisors, whose sum is σ = 7256544122880. Its totient is φ = 579028569600.

The previous prime is 2211034793993. The next prime is 2211034794047. The reversal of 2211034794000 is 4974301122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432939447 + ... + 432944553.

It is an arithmetic number, because the mean of its divisors is an integer number (22676700384).

Almost surely, 22211034794000 is an apocalyptic number.

2211034794000 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 2211034794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628272061440).

2211034794000 is an abundant number, since it is smaller than the sum of its proper divisors (5045509328880).

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

2211034794000 is a wasteful number, since it uses less digits than its factorization.

2211034794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 2211034794000 in words is "two trillion, two hundred eleven billion, thirty-four million, seven hundred ninety-four thousand".