Search a number
-
+
2296992000 = 2835371337
BaseRepresentation
bin1000100011101001…
…0101000100000000
312221002012021122210
42020322111010000
514201012221000
61015532302120
7110631052452
oct21072250400
95832167583
102296992000
11a796570a6
12541311940
132a7b60c84
1417b0c82d2
15d69ca350
hex88e95100

2296992000 has 288 divisors, whose sum is σ = 7759874304. Its totient is φ = 602112000.

The previous prime is 2296991993. The next prime is 2296992007. The reversal of 2296992000 is 2996922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2296991993) and next prime (2296992007).

It is a super-3 number, since 3×22969920003 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2296992000.

It is not an unprimeable number, because it can be changed into a prime (2296992007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815832 + ... + 6816168.

It is an arithmetic number, because the mean of its divisors is an integer number (26944008).

Almost surely, 22296992000 is an apocalyptic number.

2296992000 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 2296992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879937152).

2296992000 is an abundant number, since it is smaller than the sum of its proper divisors (5462882304).

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

2296992000 is an equidigital number, since it uses as much as digits as its factorization.

2296992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 2296992000 is about 47926.9444050004. The cubic root of 2296992000 is about 1319.4304246053.

The spelling of 2296992000 in words is "two billion, two hundred ninety-six million, nine hundred ninety-two thousand".