Search a number
-
+
2246931072 = 2732173397
BaseRepresentation
bin1000010111101101…
…0111001010000000
312210120222220222100
42011323113022000
514100203243242
61010543310400
7106452412311
oct20573271200
95716886870
102246931072
11a53374631
125285ab400
1329a683c19
141745b6608
15d23dc54c
hex85ed7280

2246931072 has 192 divisors, whose sum is σ = 6887111400. Its totient is φ = 703143936.

The previous prime is 2246931053. The next prime is 2246931083. The reversal of 2246931072 is 2701396422.

It can be written as a sum of positive squares in 4 ways, for example, as 2103506496 + 143424576 = 45864^2 + 11976^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5659578 + ... + 5659974.

Almost surely, 22246931072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246931072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443555700).

2246931072 is an abundant number, since it is smaller than the sum of its proper divisors (4640180328).

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

2246931072 is an equidigital number, since it uses as much as digits as its factorization.

2246931072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2246931072 is about 47401.8045226128. The cubic root of 2246931072 is about 1309.7746581299.

The spelling of 2246931072 in words is "two billion, two hundred forty-six million, nine hundred thirty-one thousand, seventy-two".