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2385808224 = 25324852169
BaseRepresentation
bin1000111000110100…
…1000101101100000
320011021022121121120
42032031020231200
514341231330344
61032424052240
7113060015052
oct21615105540
96137277546
102385808224
1110147aa038
12567004080
132c038a157
14188c078d2
15de6c1219
hex8e348b60

2385808224 has 24 divisors (see below), whose sum is σ = 6262746840. Its totient is φ = 795269376.

The previous prime is 2385808213. The next prime is 2385808273. The reversal of 2385808224 is 4228085832.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 12425989 + ... + 12426180.

It is an arithmetic number, because the mean of its divisors is an integer number (260947785).

Almost surely, 22385808224 is an apocalyptic number.

2385808224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2385808224 is an abundant number, since it is smaller than the sum of its proper divisors (3876938616).

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

2385808224 is a wasteful number, since it uses less digits than its factorization.

2385808224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852182 (or 24852174 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2385808224 is about 48844.7358883227. The cubic root of 2385808224 is about 1336.2216695065.

The spelling of 2385808224 in words is "two billion, three hundred eighty-five million, eight hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 24852169 49704338 74556507 99408676 149113014 198817352 298226028 397634704 596452056 795269408 1192904112 2385808224