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230027261 = 3741532861
BaseRepresentation
bin11011011010111…
…10111111111101
3121000211121002012
431231132333331
5432341333021
634454141005
75462125262
oct1555367775
9530747065
10230027261
11108931982
1265051765
133886b809
142279b269
15152db35b
hexdb5effd

230027261 has 16 divisors (see below), whose sum is σ = 246658608. Its totient is φ = 214156800.

The previous prime is 230027257. The next prime is 230027267. The reversal of 230027261 is 162720032.

It can be written as a sum of positive squares in 8 ways, for example, as 1836025 + 228191236 = 1355^2 + 15106^2 .

It is a cyclic number.

It is not a de Polignac number, because 230027261 - 22 = 230027257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230027267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78971 + ... + 81831.

It is an arithmetic number, because the mean of its divisors is an integer number (15416163).

Almost surely, 2230027261 is an apocalyptic number.

It is an amenable number.

230027261 is a deficient number, since it is larger than the sum of its proper divisors (16631347).

230027261 is a wasteful number, since it uses less digits than its factorization.

230027261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 230027261 is about 15166.6496300271. The cubic root of 230027261 is about 612.7167732507.

Adding to 230027261 its reverse (162720032), we get a palindrome (392747293).

The spelling of 230027261 in words is "two hundred thirty million, twenty-seven thousand, two hundred sixty-one".

Divisors: 1 37 41 53 1517 1961 2173 2861 80401 105857 117301 151633 4340137 5610421 6216953 230027261