Search a number
-
+
2424085225 = 524322292
BaseRepresentation
bin1001000001111100…
…1001101011101001
320020221100021210021
42100133021223221
514431031211400
61040312320441
7114033245602
oct22037115351
96227307707
102424085225
111034373121
125779a3121
132c829c673
1418dd2cda9
15e2c3271a
hex907c9ae9

2424085225 has 27 divisors (see below), whose sum is σ = 3090892293. Its totient is φ = 1885897440.

The previous prime is 2424085171. The next prime is 2424085243. The reversal of 2424085225 is 5225804242.

The square root of 2424085225 is 49235.

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

2424085225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 330839721 + 2093245504 = 18189^2 + 45752^2 .

It is not a de Polignac number, because 2424085225 - 227 = 2289867497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10585411 + ... + 10585639.

Almost surely, 22424085225 is an apocalyptic number.

2424085225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2424085225 is the 49235-th square number.

2424085225 is the 24618-th centered octagonal number.

It is an amenable number.

2424085225 is a deficient number, since it is larger than the sum of its proper divisors (666807068).

2424085225 is an frugal number, since it uses more digits than its factorization.

2424085225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The cubic root of 2424085225 is about 1343.3297352404.

Adding to 2424085225 its reverse (5225804242), we get a palindrome (7649889467).

The spelling of 2424085225 in words is "two billion, four hundred twenty-four million, eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 43 215 229 1075 1145 1849 5725 9245 9847 46225 49235 52441 246175 262205 423421 1311025 2117105 2254963 10585525 11274815 56374075 96963409 484817045 2424085225