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20241225 = 3352157191
BaseRepresentation
bin100110100110…
…1101101001001
31102002100202000
41031031231021
520140204400
62001501213
7334022214
oct115155511
942070660
1020241225
1110475594
126941809
134269174
14298c77b
151b9c600
hex134db49

20241225 has 48 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 10670400.

The previous prime is 20241211. The next prime is 20241229. The reversal of 20241225 is 52214202.

It is not a de Polignac number, because 20241225 - 213 = 20233033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20241198 and 20241207.

It is not an unprimeable number, because it can be changed into a prime (20241229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105880 + ... + 106070.

It is an arithmetic number, because the mean of its divisors is an integer number (783680).

Almost surely, 220241225 is an apocalyptic number.

20241225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20241225 is a deficient number, since it is larger than the sum of its proper divisors (17375415).

20241225 is a wasteful number, since it uses less digits than its factorization.

20241225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20241225 is about 4499.0248943521. The cubic root of 20241225 is about 272.5287122904.

Adding to 20241225 its reverse (52214202), we get a palindrome (72455427).

It can be divided in two parts, 2024 and 1225, that added together give a square (3249 = 572).

The spelling of 20241225 in words is "twenty million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 157 191 225 471 573 675 785 955 1413 1719 2355 2865 3925 4239 4775 5157 7065 8595 11775 14325 21195 25785 29987 35325 42975 89961 105975 128925 149935 269883 449805 749675 809649 1349415 2249025 4048245 6747075 20241225