Search a number
-
+
2233441045000 = 2354111711321139
BaseRepresentation
bin100000100000000011011…
…101011100101000001000
321220111220100100122011201
4200200003131130220020
5243043041401420000
64430010104433544
7320234515435054
oct40400335345010
97814810318151
102233441045000
11791219276060
12300a32a788b4
131327c6b12829
147a155dccc64
153d16c1de96a
hex2080375ca08

2233441045000 has 320 divisors, whose sum is σ = 6098259182400. Its totient is φ = 757585920000.

The previous prime is 2233441044997. The next prime is 2233441045037. The reversal of 2233441045000 is 5401443322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2233441045000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105644431 + ... + 105665569.

It is an arithmetic number, because the mean of its divisors is an integer number (19057059945).

Almost surely, 22233441045000 is an apocalyptic number.

2233441045000 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 2233441045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049129591200).

2233441045000 is an abundant number, since it is smaller than the sum of its proper divisors (3864818137400).

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

2233441045000 is a wasteful number, since it uses less digits than its factorization.

2233441045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21306 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 2233441045000 its reverse (5401443322), we get a palindrome (2238842488322).

The spelling of 2233441045000 in words is "two trillion, two hundred thirty-three billion, four hundred forty-one million, forty-five thousand".