Search a number
-
+
2251028025 = 325231632
BaseRepresentation
bin1000011000101011…
…1111011000111001
312210212201001221100
42012022333120321
514102230344100
61011211202013
7106532264631
oct20612773071
95725631840
102251028025
11a55712744
12529a46309
1329b48995c
14174d616c1
15d294b400
hex862bf639

2251028025 has 27 divisors (see below), whose sum is σ = 4033116399. Its totient is φ = 1200168720.

The previous prime is 2251027979. The next prime is 2251028029. The reversal of 2251028025 is 5208201522.

The square root of 2251028025 is 47445.

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., 810370089 + 1440657936 = 28467^2 + 37956^2 .

It is not a de Polignac number, because 2251028025 - 211 = 2251025977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2251028025.

It is not an unprimeable number, because it can be changed into a prime (2251028029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 710094 + ... + 713256.

Almost surely, 22251028025 is an apocalyptic number.

2251028025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2251028025 is the 47445-th square number.

2251028025 is the 23723-rd centered octagonal number.

It is an amenable number.

2251028025 is a deficient number, since it is larger than the sum of its proper divisors (1782088374).

2251028025 is an frugal number, since it uses more digits than its factorization.

2251028025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 2251028025 is about 1310.5702361749.

Adding to 2251028025 its reverse (5208201522), we get a palindrome (7459229547).

The spelling of 2251028025 in words is "two billion, two hundred fifty-one million, twenty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3163 9489 15815 28467 47445 79075 142335 237225 711675 10004569 30013707 50022845 90041121 150068535 250114225 450205605 750342675 2251028025