Search a number
-
+
2303881200 = 2432521075981
BaseRepresentation
bin1000100101010010…
…0110111111110000
312221120011021212100
42021110212333300
514204243144300
61020340100400
7111043444545
oct21124467760
95846137770
102303881200
11a82532055
12543694700
132a940391a
1417bd9cbcc
15d73db700
hex89526ff0

2303881200 has 180 divisors, whose sum is σ = 8071177608. Its totient is φ = 608524800.

The previous prime is 2303881189. The next prime is 2303881207. The reversal of 2303881200 is 21883032.

2303881200 is digitally balanced in base 2 and base 4, because in such bases 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 (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303881207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 382210 + ... + 388190.

Almost surely, 22303881200 is an apocalyptic number.

2303881200 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 2303881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035588804).

2303881200 is an abundant number, since it is smaller than the sum of its proper divisors (5767296408).

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

2303881200 is a wasteful number, since it uses less digits than its factorization.

2303881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2303881200 is about 47998.7624840474. The cubic root of 2303881200 is about 1320.7481984178.

The spelling of 2303881200 in words is "two billion, three hundred three million, eight hundred eighty-one thousand, two hundred".