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4464244225 = 5272232832
BaseRepresentation
bin1000010100001011…
…01111011000000001
3102112010021002210201
410022011233120001
533120321303400
62014552125201
7215425310200
oct41205573001
912463232721
104464244225
111990a49841
12a47096801
13561b67a3c
14304c7d237
151b1dc906a
hex10a16f601

4464244225 has 81 divisors (see below), whose sum is σ = 6813673923. Its totient is φ = 2892822240.

The previous prime is 4464244223. The next prime is 4464244241. The reversal of 4464244225 is 5224424644.

The square root of 4464244225 is 66815.

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

It can be written as a sum of positive squares in only one way, i.e., 1607127921 + 2857116304 = 40089^2 + 53452^2 .

It is not a de Polignac number, because 4464244225 - 21 = 4464244223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4464244223) 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 80 ways as a sum of consecutive naturals, for example, 53786034 + ... + 53786116.

Almost surely, 24464244225 is an apocalyptic number.

4464244225 is the 66815-th square number.

4464244225 is the 33408-th centered octagonal number.

It is an amenable number.

4464244225 is a deficient number, since it is larger than the sum of its proper divisors (2349429698).

4464244225 is an equidigital number, since it uses as much as digits as its factorization.

4464244225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 245760, while the sum is 37.

The cubic root of 4464244225 is about 1646.5792891062.

Adding to 4464244225 its reverse (5224424644), we get a palindrome (9688668869).

The spelling of 4464244225 in words is "four billion, four hundred sixty-four million, two hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 23 25 35 49 83 115 161 175 245 415 529 575 581 805 1127 1225 1909 2075 2645 2905 3703 4025 4067 5635 6889 9545 13225 13363 14525 18515 20335 25921 28175 34445 43907 47725 48223 66815 92575 93541 101675 129605 158447 172225 219535 241115 307349 334075 337561 467705 648025 792235 1097675 1109129 1205575 1536745 1687805 2151443 2338525 3644281 3961175 5545645 7683725 7763903 8439025 10757215 18221405 25509967 27728225 38819515 53786075 91107025 127549835 178569769 194097575 637749175 892848845 4464244225