Search a number
-
+
2243538000 = 243453111259
BaseRepresentation
bin1000010110111001…
…1010110001010000
312210100121112120000
42011232122301100
514043321204000
61010342450000
7106411521054
oct20556326120
95710545500
102243538000
11a51467340
12527433900
13299a666a2
14173d71c64
15d1e6c000
hex85b9ac50

2243538000 has 400 divisors, whose sum is σ = 8847558720. Its totient is φ = 543456000.

The previous prime is 2243537977. The next prime is 2243538043. The reversal of 2243538000 is 8353422.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1781371 + ... + 1782629.

Almost surely, 22243538000 is an apocalyptic number.

2243538000 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 2243538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423779360).

2243538000 is an abundant number, since it is smaller than the sum of its proper divisors (6604020720).

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

2243538000 is a wasteful number, since it uses less digits than its factorization.

2243538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2243538000 is about 47366.0004644682. Note that the first 3 decimals coincide. The cubic root of 2243538000 is about 1309.1150326994.

The spelling of 2243538000 in words is "two billion, two hundred forty-three million, five hundred thirty-eight thousand".