Search a number
-
+
768121225 = 522322412
BaseRepresentation
bin101101110010001…
…001100110001001
31222112100121020021
4231302021212021
53033114334400
6204115300441
725014631324
oct5562114611
91875317207
10768121225
11364647933
121952aa721
13c31a0a01
147402b7bb
154767b71a
hex2dc89989

768121225 has 27 divisors (see below), whose sum is σ = 999831189. Its totient is φ = 585340800.

The previous prime is 768121213. The next prime is 768121267. The reversal of 768121225 is 522121867.

It is a happy number.

The square root of 768121225 is 27715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11431161 + 756690064 = 3381^2 + 27508^2 .

It is not a de Polignac number, because 768121225 - 213 = 768113033 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 3187105 + ... + 3187345.

Almost surely, 2768121225 is an apocalyptic number.

768121225 is the 27715-th square number.

768121225 is the 13858-th centered octagonal number.

It is an amenable number.

768121225 is a deficient number, since it is larger than the sum of its proper divisors (231709964).

768121225 is an equidigital number, since it uses as much as digits as its factorization.

768121225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The cubic root of 768121225 is about 915.8195748355.

The spelling of 768121225 in words is "seven hundred sixty-eight million, one hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 241 529 575 1205 2645 5543 6025 13225 27715 58081 127489 138575 290405 637445 1335863 1452025 3187225 6679315 30724849 33396575 153624245 768121225