Search a number
-
+
12424446225 = 345224772
BaseRepresentation
bin10111001001000111…
…00000000100010001
31012001212210021010000
423210203200010101
5200421124234400
65412511000213
7616614023202
oct134443400421
935055707100
1012424446225
1152a6304384
1224a8b09069
131230085239
1485c1475a9
154cab62600
hex2e48e0111

12424446225 has 45 divisors (see below), whose sum is σ = 23023664257. Its totient is φ = 6623696160.

The previous prime is 12424446157. The next prime is 12424446227. The reversal of 12424446225 is 52264442421.

The square root of 12424446225 is 111465.

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

12424446225 is a `hidden beast` number, since 1 + 2 + 4 + 24 + 4 + 4 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241584849 + 12182861376 = 15543^2 + 110376^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12424446225 - 29 = 12424445713 is a prime.

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 12424446225.

It is not an unprimeable number, because it can be changed into a prime (12424446227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5014687 + ... + 5017163.

Almost surely, 212424446225 is an apocalyptic number.

12424446225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12424446225 is the 111465-th square number.

12424446225 is the 55733-rd centered octagonal number.

It is an amenable number.

12424446225 is a deficient number, since it is larger than the sum of its proper divisors (10599218032).

12424446225 is an frugal number, since it uses more digits than its factorization.

12424446225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 2485 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Multiplying 12424446225 by its sum of digits (36), we get a square (447280064100 = 6687902).

Adding to 12424446225 its reverse (52264442421), we get a palindrome (64688888646).

The spelling of 12424446225 in words is "twelve billion, four hundred twenty-four million, four hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2477 7431 12385 22293 37155 61925 66879 111465 185775 200637 334395 557325 1003185 1671975 5015925 6135529 18406587 30677645 55219761 92032935 153388225 165659283 276098805 460164675 496977849 828296415 1380494025 2484889245 4141482075 12424446225