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2224630064 = 241730726641
BaseRepresentation
bin1000010010011001…
…0010100100110000
312202001000220202002
42010212102210300
514024001130224
61004425313132
7106062020636
oct20446224460
95661026662
102224630064
11a41822548
125210357a8
13295b76367
1417164d356
15d04849ae
hex84992930

2224630064 has 40 divisors (see below), whose sum is σ = 4578800688. Its totient is φ = 1043435520.

The previous prime is 2224630061. The next prime is 2224630099. The reversal of 2224630064 is 4600364222.

It is not an unprimeable number, because it can be changed into a prime (2224630061) 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, 70184 + ... + 96824.

Almost surely, 22224630064 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 2224630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289400344).

2224630064 is an abundant number, since it is smaller than the sum of its proper divisors (2354170624).

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

2224630064 is a wasteful number, since it uses less digits than its factorization.

2224630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26973 (or 26967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2224630064 is about 47165.9841835194. The cubic root of 2224630064 is about 1305.4270293558.

Adding to 2224630064 its reverse (4600364222), we get a palindrome (6824994286).

The spelling of 2224630064 in words is "two billion, two hundred twenty-four million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 307 614 1228 2456 4912 5219 10438 20876 26641 41752 53282 83504 106564 213128 426256 452897 905794 1811588 3623176 7246352 8178787 16357574 32715148 65430296 130860592 139039379 278078758 556157516 1112315032 2224630064