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2224135648 = 2579929177
BaseRepresentation
bin1000010010010001…
…1001110111100000
312202000002210112101
42010210121313200
514023334320043
61004410540144
7106054561330
oct20444316740
95660083471
102224135648
11a41515039
12520a37654
13295a322c7
141715610c0
15d03d824d
hex84919de0

2224135648 has 24 divisors (see below), whose sum is σ = 5004305712. Its totient is φ = 953200896.

The previous prime is 2224135609. The next prime is 2224135663. The reversal of 2224135648 is 8465314222.

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, 4964365 + ... + 4964812.

It is an arithmetic number, because the mean of its divisors is an integer number (208512738).

Almost surely, 22224135648 is an apocalyptic number.

2224135648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2224135648 is an abundant number, since it is smaller than the sum of its proper divisors (2780170064).

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

2224135648 is an equidigital number, since it uses as much as digits as its factorization.

2224135648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929194 (or 9929186 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 2224135648 is about 47160.7426574264. The cubic root of 2224135648 is about 1305.3303133758.

The spelling of 2224135648 in words is "two billion, two hundred twenty-four million, one hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 9929177 19858354 39716708 69504239 79433416 139008478 158866832 278016956 317733664 556033912 1112067824 2224135648