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24221224131220 = 2251211061206561
BaseRepresentation
bin1011000000111011100010…
…11101011101101010010100
310011202112012202101110200101
411200131301131131222110
511133320031334144340
6123303024325023444
75046632341100434
oct540356135355224
9104675182343611
1024221224131220
117799188637816
12287229ab54b84
13106908959935c
145da4563762c4
152c00b2736c9a
hex16077175da94

24221224131220 has 12 divisors (see below), whose sum is σ = 50864570675604. Its totient is φ = 9688489652480.

The previous prime is 24221224131191. The next prime is 24221224131263. The reversal of 24221224131220 is 2213142212242.

It can be written as a sum of positive squares in 2 ways, for example, as 2548959130116 + 21672265001104 = 1596546^2 + 4655348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605530603261 + ... + 605530603300.

It is an arithmetic number, because the mean of its divisors is an integer number (4238714222967).

Almost surely, 224221224131220 is an apocalyptic number.

24221224131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24221224131220 is an abundant number, since it is smaller than the sum of its proper divisors (26643346544384).

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

24221224131220 is a wasteful number, since it uses less digits than its factorization.

24221224131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211061206570 (or 1211061206568 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 24221224131220 its reverse (2213142212242), we get a palindrome (26434366343462).

The spelling of 24221224131220 in words is "twenty-four trillion, two hundred twenty-one billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1211061206561 2422122413122 4844244826244 6055306032805 12110612065610 24221224131220