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2400223340 = 225120011167
BaseRepresentation
bin1000111100010000…
…1000000001101100
320012021102222102202
42033010020001230
514403424121330
61034101041032
7113323363454
oct21704100154
96167388382
102400223340
111021955359
1256b9b6178
132c33664c8
1418aabad64
15e0abc445
hex8f10806c

2400223340 has 12 divisors (see below), whose sum is σ = 5040469056. Its totient is φ = 960089328.

The previous prime is 2400223333. The next prime is 2400223361. The reversal of 2400223340 is 433220042.

It is a super-2 number, since 2×24002233402 = 11522144163761511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 120011167 = 2400223340 / (2 + 4 + 0 + 0 + 2 + 2 + 3 + 3 + 4 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60005564 + ... + 60005603.

It is an arithmetic number, because the mean of its divisors is an integer number (420039088).

Almost surely, 22400223340 is an apocalyptic number.

2400223340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400223340 is an abundant number, since it is smaller than the sum of its proper divisors (2640245716).

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

2400223340 is a wasteful number, since it uses less digits than its factorization.

2400223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120011176 (or 120011174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2400223340 is about 48992.0742569653. The cubic root of 2400223340 is about 1338.9074297525.

Adding to 2400223340 its reverse (433220042), we get a palindrome (2833443382).

The spelling of 2400223340 in words is "two billion, four hundred million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 120011167 240022334 480044668 600055835 1200111670 2400223340