Search a number
-
+
2275282944 = 212321131181
BaseRepresentation
bin1000011110011110…
…0001000000000000
312212120100100102200
42013213201000000
514124433023234
61013435113200
7110245404654
oct20747410000
95776310380
102275282944
11a68379830
12535ba2800
132a34cc98c
14178276a64
15d4b3cd99
hex879e1000

2275282944 has 312 divisors, whose sum is σ = 7441883904. Its totient is φ = 663552000.

The previous prime is 2275282939. The next prime is 2275282973. The reversal of 2275282944 is 4492825722.

It is a self number, because there is not a number n which added to its sum of digits gives 2275282944.

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, 12570534 + ... + 12570714.

It is an arithmetic number, because the mean of its divisors is an integer number (23852192).

Almost surely, 22275282944 is an apocalyptic number.

2275282944 is a gapful number since it is divisible by the number (24) 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 2275282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720941952).

2275282944 is an abundant number, since it is smaller than the sum of its proper divisors (5166600960).

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

2275282944 is a wasteful number, since it uses less digits than its factorization.

2275282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 228 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2275282944 is about 47699.9260376785. The cubic root of 2275282944 is about 1315.2605793752.

The spelling of 2275282944 in words is "two billion, two hundred seventy-five million, two hundred eighty-two thousand, nine hundred forty-four".