Search a number
-
+
2296800 = 2532521129
BaseRepresentation
bin1000110000101111100000
311022200121200
420300233200
51041444200
6121121200
725344132
oct10605740
94280550
102296800
111329690
12929200
1362556c
1443b052
15305800
hex230be0

2296800 has 216 divisors, whose sum is σ = 9140040. Its totient is φ = 537600.

The previous prime is 2296787. The next prime is 2296807. The reversal of 2296800 is 86922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296807) 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, 79186 + ... + 79214.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

22296800 is an apocalyptic number.

2296800 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 2296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

2296800 is an abundant number, since it is smaller than the sum of its proper divisors (6843240).

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

2296800 is a wasteful number, since it uses less digits than its factorization.

2296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2296800 is about 1515.5197128378. The cubic root of 2296800 is about 131.9393660916.

The spelling of 2296800 in words is "two million, two hundred ninety-six thousand, eight hundred".