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2244455680 = 2851753481
BaseRepresentation
bin1000010111000111…
…1010110100000000
312210102100011101011
42011301322310000
514044040040210
61010414250304
7106422362365
oct20561726400
95712304334
102244455680
11a51a33855
125277b6994
13299cc82ac
1417413046c
15d209dd8a
hex85c7ad00

2244455680 has 36 divisors (see below), whose sum is σ = 5376175812. Its totient is φ = 897781760.

The previous prime is 2244455663. The next prime is 2244455683. The reversal of 2244455680 is 865544422.

It can be written as a sum of positive squares in 2 ways, for example, as 1496761344 + 747694336 = 38688^2 + 27344^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244455683) by changing a digit.

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, 875461 + ... + 878020.

It is an arithmetic number, because the mean of its divisors is an integer number (149338217).

Almost surely, 22244455680 is an apocalyptic number.

2244455680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244455680 is an abundant number, since it is smaller than the sum of its proper divisors (3131720132).

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

2244455680 is an equidigital number, since it uses as much as digits as its factorization.

2244455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753502 (or 1753488 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The square root of 2244455680 is about 47375.6865913308. The cubic root of 2244455680 is about 1309.2934985754.

The spelling of 2244455680 in words is "two billion, two hundred forty-four million, four hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1753481 3506962 7013924 8767405 14027848 17534810 28055696 35069620 56111392 70139240 112222784 140278480 224445568 280556960 448891136 561113920 1122227840 2244455680