Search a number
-
+
13233051225 = 325276692
BaseRepresentation
bin11000101001100000…
…00101011001011001
31021011020022122122100
430110300011121121
5204100130114400
610025034114013
7645633036162
oct142460053131
937136278570
1013233051225
115680792279
12269387b909
13132b75ba34
148d76b2769
15526b39100
hex314c05659

13233051225 has 27 divisors (see below), whose sum is σ = 23704956093. Its totient is φ = 7056707040.

The previous prime is 13233051217. The next prime is 13233051347. The reversal of 13233051225 is 52215033231.

It is a happy number.

The square root of 13233051225 is 115035.

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

13233051225 is a `hidden beast` number, since 1 + 323 + 305 + 12 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2147488281 + 11085562944 = 46341^2 + 105288^2 .

It is not a de Polignac number, because 13233051225 - 23 = 13233051217 is a prime.

It is a super-2 number, since 2×132330512252 (a number of 21 digits) contains 22 as substring.

It is a Curzon 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, 1721691 + ... + 1729359.

Almost surely, 213233051225 is an apocalyptic number.

13233051225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13233051225 is the 115035-th square number.

13233051225 is the 57518-th centered octagonal number.

It is an amenable number.

13233051225 is a deficient number, since it is larger than the sum of its proper divisors (10471904868).

13233051225 is an frugal number, since it uses more digits than its factorization.

13233051225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15354 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13233051225 its reverse (52215033231), we get a palindrome (65448084456).

The spelling of 13233051225 in words is "thirteen billion, two hundred thirty-three million, fifty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 7669 23007 38345 69021 115035 191725 345105 575175 1725525 58813561 176440683 294067805 529322049 882203415 1470339025 2646610245 4411017075 13233051225