Search a number
-
+
2211042343200 = 2535211325731723
BaseRepresentation
bin100000001011001100011…
…001001011100100100000
321211101002100020200122120
4200023030121023210200
5242211203314440300
64411423330504240
7315512455552335
oct40131431134440
97741070220576
102211042343200
11782774840959
122b8621735080
131306674b5122
147902d30498c
153c7aaaa73a0
hex202cc64b920

2211042343200 has 288 divisors, whose sum is σ = 7289113841856. Its totient is φ = 582101237760.

The previous prime is 2211042343177. The next prime is 2211042343241. The reversal of 2211042343200 is 23432401122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69682539 + ... + 69714261.

It is an arithmetic number, because the mean of its divisors is an integer number (25309423062).

Almost surely, 22211042343200 is an apocalyptic number.

2211042343200 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 2211042343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644556920928).

2211042343200 is an abundant number, since it is smaller than the sum of its proper divisors (5078071498656).

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

2211042343200 is a wasteful number, since it uses less digits than its factorization.

2211042343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32116 (or 32103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2211042343200 its reverse (23432401122), we get a palindrome (2234474744322).

The spelling of 2211042343200 in words is "two trillion, two hundred eleven billion, forty-two million, three hundred forty-three thousand, two hundred".