Search a number
-
+
18226944000 = 2113553293
BaseRepresentation
bin10000111110011010…
…010001100000000000
31202001021012200200000
4100332122101200000
5244312044202000
612212350400000
71213452316266
oct207632214000
952037180600
1018226944000
1178036a8891
123648200000
13194625c885
14c4ca24436
1571a286000
hex43e691800

18226944000 has 576 divisors, whose sum is σ = 68363961120. Its totient is φ = 4843929600.

The previous prime is 18226943953. The next prime is 18226944011. The reversal of 18226944000 is 44962281.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 62207854 + ... + 62208146.

Almost surely, 218226944000 is an apocalyptic number.

18226944000 is a gapful number since it is divisible by the number (10) 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 18226944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181980560).

18226944000 is an abundant number, since it is smaller than the sum of its proper divisors (50137017120).

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

18226944000 is an frugal number, since it uses more digits than its factorization.

18226944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18226944000 in words is "eighteen billion, two hundred twenty-six million, nine hundred forty-four thousand".