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2001440224 = 25716753503
BaseRepresentation
bin111011101001011…
…1000110111100000
312011111001200211201
41313102320313200
513044332041344
6530333450544
7100411650460
oct16722706740
95144050751
102001440224
11937840733
1247a340a54
1325b85ca74
1414db51ba0
15baa994d4
hex774b8de0

2001440224 has 48 divisors (see below), whose sum is σ = 4530290688. Its totient is φ = 852607872.

The previous prime is 2001440201. The next prime is 2001440237. The reversal of 2001440224 is 4220441002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10657 + ... + 64159.

It is an arithmetic number, because the mean of its divisors is an integer number (94381056).

Almost surely, 22001440224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265145344).

2001440224 is an abundant number, since it is smaller than the sum of its proper divisors (2528850464).

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

2001440224 is a wasteful number, since it uses less digits than its factorization.

2001440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53687 (or 53679 counting only the distinct ones).

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

The square root of 2001440224 is about 44737.4588460275. The cubic root of 2001440224 is about 1260.2234054189.

Adding to 2001440224 its reverse (4220441002), we get a palindrome (6221881226).

It can be divided in two parts, 2001 and 440224, that added together give a square (442225 = 6652).

The spelling of 2001440224 in words is "two billion, one million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 167 224 334 668 1169 1336 2338 2672 4676 5344 9352 18704 37408 53503 107006 214012 374521 428024 749042 856048 1498084 1712096 2996168 5992336 8935001 11984672 17870002 35740004 62545007 71480008 125090014 142960016 250180028 285920032 500360056 1000720112 2001440224