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2244231360 = 26355721931
BaseRepresentation
bin1000010111000100…
…0100000011000000
312210101220202200000
42011301010003000
514044010400420
61010405400000
7106420436400
oct20561040300
95711822600
102244231360
11a518a0268
12527709000
13299c4a167
141740b2800
15d2057690
hex85c440c0

2244231360 has 1008 divisors, whose sum is σ = 10118384640. Its totient is φ = 470292480.

The previous prime is 2244231359. The next prime is 2244231389. The reversal of 2244231360 is 631324422.

2244231360 is a `hidden beast` number, since 224 + 423 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394545 + ... + 72394575.

It is an arithmetic number, because the mean of its divisors is an integer number (10038080).

Almost surely, 22244231360 is an apocalyptic number.

2244231360 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 2244231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

2244231360 is an abundant number, since it is smaller than the sum of its proper divisors (7874153280).

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

2244231360 is a wasteful number, since it uses less digits than its factorization.

2244231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2244231360 is about 47373.3190730816. The cubic root of 2244231360 is about 1309.2498784221.

Adding to 2244231360 its reverse (631324422), we get a palindrome (2875555782).

The spelling of 2244231360 in words is "two billion, two hundred forty-four million, two hundred thirty-one thousand, three hundred sixty".