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2242001440 = 25572001787
BaseRepresentation
bin1000010110100010…
…0011101000100000
312210020201110210101
42011220203220200
514042423021230
61010245512144
7106362461230
oct20550435040
95706643711
102242001440
11a50607958
12526a12654
13299649193
14173a91cc0
15d1c66aca
hex85a23a20

2242001440 has 48 divisors (see below), whose sum is σ = 6053406912. Its totient is φ = 768685824.

The previous prime is 2242001431. The next prime is 2242001441. The reversal of 2242001440 is 441002422.

It is not an unprimeable number, because it can be changed into a prime (2242001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999774 + ... + 1002013.

It is an arithmetic number, because the mean of its divisors is an integer number (126112644).

Almost surely, 22242001440 is an apocalyptic number.

2242001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242001440 is an abundant number, since it is smaller than the sum of its proper divisors (3811405472).

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

2242001440 is a wasteful number, since it uses less digits than its factorization.

2242001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001809 (or 2001801 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2242001440 is about 47349.7776129941. Note that the first 3 decimals coincide. The cubic root of 2242001440 is about 1308.8161011025.

Adding to 2242001440 its reverse (441002422), we get a palindrome (2683003862).

The spelling of 2242001440 in words is "two billion, two hundred forty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2001787 4003574 8007148 10008935 14012509 16014296 20017870 28025018 32028592 40035740 56050036 64057184 70062545 80071480 112100072 140125090 160142960 224200144 280250180 320285920 448400288 560500360 1121000720 2242001440