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2318906880 = 2934553211
BaseRepresentation
bin1000101000110111…
…1011011000000000
312222121102200020000
42022031323120000
514222120010010
61022034120000
7111315245313
oct21215733000
95877380200
102318906880
11a8aa65074
12548720000
132ac564b64
1417dd9097a
15d88a87c0
hex8a37b600

2318906880 has 400 divisors, whose sum is σ = 8502406704. Its totient is φ = 603832320.

The previous prime is 2318906869. The next prime is 2318906911. The reversal of 2318906880 is 886098132.

It is a super-2 number, since 2×23189068802 = 10754658236222668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 10989975 + ... + 10990185.

Almost surely, 22318906880 is an apocalyptic number.

2318906880 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 2318906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251203352).

2318906880 is an abundant number, since it is smaller than the sum of its proper divisors (6183499824).

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

2318906880 is an equidigital number, since it uses as much as digits as its factorization.

2318906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2318906880 is about 48155.0296438492. The cubic root of 2318906880 is about 1323.6132409335.

The spelling of 2318906880 in words is "two billion, three hundred eighteen million, nine hundred six thousand, eight hundred eighty".