Search a number
-
+
2210011103200 = 255215831745113
BaseRepresentation
bin100000001010001110111…
…011010011111111100000
321211021102110210021022111
4200022032323103333200
5242202100320300300
64411133131445104
7315445064266615
oct40121673237740
97737373707274
102210011103200
1178229571aa9a
122b83942b6794
1313053195a744
1478d7238450c
153c74a2a49ba
hex2028eed3fe0

2210011103200 has 72 divisors (see below), whose sum is σ = 5398600904928. Its totient is φ = 883445498880.

The previous prime is 2210011103177. The next prime is 2210011103243. The reversal of 2210011103200 is 23011100122.

2210011103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393844 + ... + 2138956.

It is an arithmetic number, because the mean of its divisors is an integer number (74980568124).

Almost surely, 22210011103200 is an apocalyptic number.

2210011103200 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 2210011103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699300452464).

2210011103200 is an abundant number, since it is smaller than the sum of its proper divisors (3188589801728).

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

2210011103200 is a wasteful number, since it uses less digits than its factorization.

2210011103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746716 (or 1746703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2210011103200 its reverse (23011100122), we get a palindrome (2233022203322).

The spelling of 2210011103200 in words is "two trillion, two hundred ten billion, eleven million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1583 3166 6332 7915 12664 15830 25328 31660 39575 50656 63320 79150 126640 158300 253280 316600 633200 1266400 1745113 3490226 6980452 8725565 13960904 17451130 27921808 34902260 43627825 55843616 69804520 87255650 139609040 174511300 279218080 349022600 698045200 1396090400 2762513879 5525027758 11050055516 13812569395 22100111032 27625138790 44200222064 55250277580 69062846975 88400444128 110500555160 138125693950 221001110320 276251387900 442002220640 552502775800 1105005551600 2210011103200