Search a number
-
+
2286229440 = 263511239413
BaseRepresentation
bin1000100001000101…
…0001011111000000
312220022221111012110
42020101101133000
514140233320230
61014505455320
7110440425645
oct21021213700
95808844173
102286229440
11a73576020
125397a1540
132a58632b1
141798c5dcc
15d5aa14b0
hex884517c0

2286229440 has 224 divisors, whose sum is σ = 8263835136. Its totient is φ = 530083840.

The previous prime is 2286229399. The next prime is 2286229453. The reversal of 2286229440 is 449226822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238174 + ... + 247586.

Almost surely, 22286229440 is an apocalyptic number.

2286229440 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 2286229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131917568).

2286229440 is an abundant number, since it is smaller than the sum of its proper divisors (5977605696).

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

2286229440 is a wasteful number, since it uses less digits than its factorization.

2286229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2286229440 is about 47814.5316823244. The cubic root of 2286229440 is about 1317.3664665002.

The spelling of 2286229440 in words is "two billion, two hundred eighty-six million, two hundred twenty-nine thousand, four hundred forty".