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2244423040 = 2756415471
BaseRepresentation
bin1000010111000111…
…0010110110000000
312210102021111121021
42011301302312000
514044033014130
61010413435224
7106422165256
oct20561626600
95712244537
102244423040
11a51a11282
1252779bb14
13299cb6492
141741225d6
15d209437a
hex85c72d80

2244423040 has 64 divisors (see below), whose sum is σ = 5374926720. Its totient is φ = 896204800.

The previous prime is 2244423037. The next prime is 2244423047. The reversal of 2244423040 is 403244422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2244422996 and 2244423014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244423047) 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 7 ways as a sum of consecutive naturals, for example, 407505 + ... + 412975.

It is an arithmetic number, because the mean of its divisors is an integer number (83983230).

Almost surely, 22244423040 is an apocalyptic number.

2244423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687463360).

2244423040 is an abundant number, since it is smaller than the sum of its proper divisors (3130503680).

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

2244423040 is an equidigital number, since it uses as much as digits as its factorization.

2244423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2244423040 is about 47375.3421095827. The cubic root of 2244423040 is about 1309.2871517438.

Adding to 2244423040 its reverse (403244422), we get a palindrome (2647667462).

The spelling of 2244423040 in words is "two billion, two hundred forty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 641 1282 2564 3205 5128 5471 6410 10256 10942 12820 20512 21884 25640 27355 41024 43768 51280 54710 82048 87536 102560 109420 175072 205120 218840 350144 410240 437680 700288 875360 1750720 3501440 3506911 7013822 14027644 17534555 28055288 35069110 56110576 70138220 112221152 140276440 224442304 280552880 448884608 561105760 1122211520 2244423040