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25224110041 = 1321926432
BaseRepresentation
bin10111011111011110…
…010101111111011001
32102002220121112222211
4113133132111333121
5403124333010131
615330544115121
71552035253264
oct273736257731
972086545884
1025224110041
11a774397239
124a7b605aa1
1324bcab2900
141314043cdb
159c96e05b1
hex5df795fd9

25224110041 has 27 divisors (see below), whose sum is σ = 28871806239. Its totient is φ = 22024025712.

The previous prime is 25224110029. The next prime is 25224110053. The reversal of 25224110041 is 14001142252.

The square root of 25224110041 is 158821.

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

It is an interprime number because it is at equal distance from previous prime (25224110029) and next prime (25224110053).

It can be written as a sum of positive squares in only one way, i.e., 3731377225 + 21492732816 = 61085^2 + 146604^2 .

It is not a de Polignac number, because 25224110041 - 215 = 25224077273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25224109994 and 25224110021.

It is not an unprimeable number, because it can be changed into a prime (25224110341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39228466 + ... + 39229108.

It is an arithmetic number, because the mean of its divisors is an integer number (1069326157).

Almost surely, 225224110041 is an apocalyptic number.

25224110041 is the 158821-st square number.

25224110041 is the 79411-st centered octagonal number.

It is an amenable number.

25224110041 is a deficient number, since it is larger than the sum of its proper divisors (3647696198).

25224110041 is an frugal number, since it uses more digits than its factorization.

25224110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 25224110041 its reverse (14001142252), we get a palindrome (39225252293).

The spelling of 25224110041 in words is "twenty-five billion, two hundred twenty-four million, one hundred ten thousand, forty-one".

Divisors: 1 13 19 169 247 361 643 3211 4693 8359 12217 61009 108667 158821 232123 413449 2064673 3017599 5374837 7855531 39228787 69872881 102121903 149255089 1327584739 1940316157 25224110041