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2224024064 = 2914929153
BaseRepresentation
bin1000010010001111…
…1110101000000000
312201222220010110122
42010203332220000
514023322232224
61004404315412
7106053615113
oct20443765000
95658803418
102224024064
11a41449219
125209a2b68
132959c3592
1417153257a
15d03b515e
hex848fea00

2224024064 has 40 divisors (see below), whose sum is σ = 4473681300. Its totient is φ = 1104510976.

The previous prime is 2224024039. The next prime is 2224024069. The reversal of 2224024064 is 4604204222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1619257600 + 604766464 = 40240^2 + 24592^2 .

It is not an unprimeable number, because it can be changed into a prime (2224024069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61712 + ... + 90864.

Almost surely, 22224024064 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 2224024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236840650).

2224024064 is an abundant number, since it is smaller than the sum of its proper divisors (2249657236).

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

2224024064 is an equidigital number, since it uses as much as digits as its factorization.

2224024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29320 (or 29304 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2224024064 is about 47159.5596247463. The cubic root of 2224024064 is about 1305.3084837100.

Adding to 2224024064 its reverse (4604204222), we get a palindrome (6828228286).

The spelling of 2224024064 in words is "two billion, two hundred twenty-four million, twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 19072 29153 38144 58306 76288 116612 233224 466448 932896 1865792 3731584 4343797 7463168 8687594 14926336 17375188 34750376 69500752 139001504 278003008 556006016 1112012032 2224024064