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2322993816 = 2334112134353
BaseRepresentation
bin1000101001110110…
…0001001010011000
312222220010022110000
42022131201022120
514224141300231
61022301453000
7111365056503
oct21235411230
95886108400
102322993816
11a922a6700
12549b71160
132b0366170
1418073613a
15d8e146e6
hex8a761298

2322993816 has 480 divisors, whose sum is σ = 8029763280. Its totient is φ = 622702080.

The previous prime is 2322993797. The next prime is 2322993821. The reversal of 2322993816 is 6183992232.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43830046 + ... + 43830098.

Almost surely, 22322993816 is an apocalyptic number.

2322993816 is a gapful number since it is divisible by the number (26) 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 2322993816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014881640).

2322993816 is an abundant number, since it is smaller than the sum of its proper divisors (5706769464).

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

2322993816 is a wasteful number, since it uses less digits than its factorization.

2322993816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2322993816 is about 48197.4461564096. The cubic root of 2322993816 is about 1324.3903811989.

The spelling of 2322993816 in words is "two billion, three hundred twenty-two million, nine hundred ninety-three thousand, eight hundred sixteen".