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2266132320 = 2532541131293
BaseRepresentation
bin1000011100010010…
…0110111101100000
312211221010110010200
42013010212331200
514120112213240
61012511025200
7110104543524
oct20704467540
95757113120
102266132320
11a63199831
12532b0b200
132a16478ca
14176d73d84
15d3e31930
hex87126f60

2266132320 has 288 divisors, whose sum is σ = 8009505504. Its totient is φ = 583065600.

The previous prime is 2266132313. The next prime is 2266132369. The reversal of 2266132320 is 232316622.

2266132320 is a `hidden beast` number, since 2 + 2 + 6 + 613 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7734094 + ... + 7734386.

It is an arithmetic number, because the mean of its divisors is an integer number (27810783).

Almost surely, 22266132320 is an apocalyptic number.

2266132320 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 2266132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004752752).

2266132320 is an abundant number, since it is smaller than the sum of its proper divisors (5743373184).

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

2266132320 is a wasteful number, since it uses less digits than its factorization.

2266132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2266132320 is about 47603.9107637177. The cubic root of 2266132320 is about 1313.4949929982.

Adding to 2266132320 its reverse (232316622), we get a palindrome (2498448942).

The spelling of 2266132320 in words is "two billion, two hundred sixty-six million, one hundred thirty-two thousand, three hundred twenty".