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2225424211304 = 237316012132989
BaseRepresentation
bin100000011000100101100…
…111101001110101101000
321212202012122021021210012
4200120211213221311220
5242430132044230204
64422202404111052
7316532041454060
oct40304547516550
97782178237705
102225424211304
11788884a50268
122bb376095488
13131b19c57558
14799d53c23a0
153cd4d4bb76e
hex206259e9d68

2225424211304 has 64 divisors (see below), whose sum is σ = 4930790323200. Its totient is φ = 921450816000.

The previous prime is 2225424211301. The next prime is 2225424211343. The reversal of 2225424211304 is 4031124245222.

It is not an unprimeable number, because it can be changed into a prime (2225424211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23159 + ... + 2109830.

It is an arithmetic number, because the mean of its divisors is an integer number (77043598800).

Almost surely, 22225424211304 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 2225424211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465395161600).

2225424211304 is an abundant number, since it is smaller than the sum of its proper divisors (2705366111896).

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

2225424211304 is a wasteful number, since it uses less digits than its factorization.

2225424211304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133634 (or 2133630 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 2225424211304 its reverse (4031124245222), we get a palindrome (6256548456526).

The spelling of 2225424211304 in words is "two trillion, two hundred twenty-five billion, four hundred twenty-four million, two hundred eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 601 868 1202 1736 2404 4207 4808 8414 16828 18631 33656 37262 74524 130417 149048 260834 521668 1043336 2132989 4265978 8531956 14930923 17063912 29861846 59723692 66122659 119447384 132245318 264490636 462858613 528981272 925717226 1281926389 1851434452 2563852778 3702868904 5127705556 8973484723 10255411112 17946969446 35893938892 39739718059 71787877784 79479436118 158958872236 278178026413 317917744472 556356052826 1112712105652 2225424211304