Search a number
-
+
2233022010000 = 24354156747501
BaseRepresentation
bin100000011111101010011…
…110111101001010010000
321220110211010212110012220
4200133222132331022100
5243041212113310000
64425500335221040
7320221236623505
oct40375236751220
97813733773186
102233022010000
11791023789941
12300936677780
1313275b068122
147a1164b14ac
153d14551b1a0
hex207ea7bd290

2233022010000 has 200 divisors, whose sum is σ = 7213244822784. Its totient is φ = 595080000000.

The previous prime is 2233022009989. The next prime is 2233022010013. The reversal of 2233022010000 is 102203322.

2233022010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46986250 + ... + 47033750.

Almost surely, 22233022010000 is an apocalyptic number.

2233022010000 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 2233022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606622411392).

2233022010000 is an abundant number, since it is smaller than the sum of its proper divisors (4980222812784).

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

2233022010000 is a wasteful number, since it uses less digits than its factorization.

2233022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49099 (or 49078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2233022010000 its reverse (102203322), we get a palindrome (2233124213322).

The spelling of 2233022010000 in words is "two trillion, two hundred thirty-three billion, twenty-two million, ten thousand".