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831226561 = 11226212
BaseRepresentation
bin110001100010111…
…000001011000001
32010221002200110221
4301202320023001
53200243222221
6214252023041
726412211024
oct6142701301
92127080427
10831226561
11397229900
121b2461a81
13103297249
147c5771bb
154ce94541
hex318b82c1

831226561 has 9 divisors (see below), whose sum is σ = 914010979. Its totient is φ = 755372200.

The previous prime is 831226549. The next prime is 831226597. The reversal of 831226561 is 165622138.

The square root of 831226561 is 28831.

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., 684816561 + 146410000 = 26169^2 + 12100^2 .

It is not a de Polignac number, because 831226561 - 27 = 831226433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (831226541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 315831 + ... + 318451.

Almost surely, 2831226561 is an apocalyptic number.

831226561 is the 28831-st square number.

831226561 is the 14416-th centered octagonal number.

It is an amenable number.

831226561 is a deficient number, since it is larger than the sum of its proper divisors (82784418).

831226561 is an frugal number, since it uses more digits than its factorization.

831226561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 2632 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The cubic root of 831226561 is about 940.2423401881.

Adding to 831226561 its reverse (165622138), we get a palindrome (996848699).

The spelling of 831226561 in words is "eight hundred thirty-one million, two hundred twenty-six thousand, five hundred sixty-one".

Divisors: 1 11 121 2621 28831 317141 6869641 75566051 831226561