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13022233225 = 522927872
BaseRepresentation
bin11000010000010111…
…11000001010001001
31020121112121222201021
430020023320022021
5203132142430400
65552103352441
7640463104351
oct141013701211
936545558637
1013022233225
115582790621
122635152721
1312c6b87761
148b76b5b61
1551339471a
hex3082f8289

13022233225 has 27 divisors (see below), whose sum is σ = 16744859157. Its totient is φ = 10045771680.

The previous prime is 13022233207. The next prime is 13022233253. The reversal of 13022233225 is 52233222031.

The square root of 13022233225 is 114115.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 178997641 + 12843235584 = 13379^2 + 113328^2 .

It is not a de Polignac number, because 13022233225 - 211 = 13022231177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13022233225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16546282 + ... + 16547068.

Almost surely, 213022233225 is an apocalyptic number.

13022233225 is the 114115-th square number.

13022233225 is the 57058-th centered octagonal number.

It is an amenable number.

13022233225 is a deficient number, since it is larger than the sum of its proper divisors (3722625932).

13022233225 is an frugal number, since it uses more digits than its factorization.

13022233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Multiplying 13022233225 by its sum of digits (25), we get a square (325555830625 = 5705752).

13022233225 divided by its sum of digits (25) gives a square (520889329 = 228232).

Adding to 13022233225 its reverse (52233222031), we get a palindrome (65255455256).

The spelling of 13022233225 in words is "thirteen billion, twenty-two million, two hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 787 841 3935 4205 19675 21025 22823 114115 570575 619369 661867 3096845 3309335 15484225 16546675 17961701 89808505 449042525 520889329 2604446645 13022233225