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2133022320 = 24325111320717
BaseRepresentation
bin111111100100011…
…0101011001110000
312111122122202112200
41333020311121300
513332023203240
6551354023200
7103600250652
oct17710653160
95448582480
102133022320
119a5043270
124b6417b00
1327cbb06b0
141634046d2
15c73db930
hex7f235670

2133022320 has 240 divisors, whose sum is σ = 8416148832. Its totient is φ = 477296640.

The previous prime is 2133022279. The next prime is 2133022321. The reversal of 2133022320 is 232203312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133022293 and 2133022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92602 + ... + 113318.

Almost surely, 22133022320 is an apocalyptic number.

2133022320 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 2133022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208074416).

2133022320 is an abundant number, since it is smaller than the sum of its proper divisors (6283126512).

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

2133022320 is a wasteful number, since it uses less digits than its factorization.

2133022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20760 (or 20751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2133022320 is about 46184.6545943563. The cubic root of 2133022320 is about 1287.2566180856.

Adding to 2133022320 its reverse (232203312), we get a palindrome (2365225632).

The spelling of 2133022320 in words is "two billion, one hundred thirty-three million, twenty-two thousand, three hundred twenty".