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2224841680 = 245171635913
BaseRepresentation
bin1000010010011100…
…0110001111010000
312202001102200000201
42010213012033100
514024024413210
61004434024544
7106063561615
oct20447061720
95661380021
102224841680
11a41957536
12521118154
13295c1b789
141716a650c
15d04c753a
hex849c63d0

2224841680 has 40 divisors (see below), whose sum is σ = 5477040072. Its totient is φ = 837586944.

The previous prime is 2224841677. The next prime is 2224841711. The reversal of 2224841680 is 861484222.

It can be written as a sum of positive squares in 4 ways, for example, as 1157904784 + 1066936896 = 34028^2 + 32664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 816597 + ... + 819316.

Almost surely, 22224841680 is an apocalyptic number.

2224841680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224841680 is an abundant number, since it is smaller than the sum of its proper divisors (3252198392).

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

2224841680 is a wasteful number, since it uses less digits than its factorization.

2224841680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635943 (or 1635937 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2224841680 is about 47168.2274417854. The cubic root of 2224841680 is about 1305.4684205803.

The spelling of 2224841680 in words is "two billion, two hundred twenty-four million, eight hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1635913 3271826 6543652 8179565 13087304 16359130 26174608 27810521 32718260 55621042 65436520 111242084 130873040 139052605 222484168 278105210 444968336 556210420 1112420840 2224841680