Search a number
-
+
233630122609 = 132371812
BaseRepresentation
bin1101100110010101110…
…0001100001001110001
3211100001002021220221001
43121211130030021301
512311433302410414
6255154520202001
722610400163462
oct3314534141161
9740032256831
10233630122609
119009a128064
1239342309301
13190537b0100
14b4446bad69
156125b10074
hex366570c271

233630122609 has 9 divisors (see below), whose sum is σ = 252990901569. Its totient is φ = 215652774480.

The previous prime is 233630122603. The next prime is 233630122657. The reversal of 233630122609 is 906221036332.

It is a happy number.

The square root of 233630122609 is 483353.

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 71923194225 + 161706928384 = 268185^2 + 402128^2 .

It is not a de Polignac number, because 233630122609 - 23 = 233630122601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233630122601) 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, 6264999 + ... + 6302179.

Almost surely, 2233630122609 is an apocalyptic number.

233630122609 is the 483353-rd square number.

233630122609 is the 241677-th centered octagonal number.

It is an amenable number.

233630122609 is a deficient number, since it is larger than the sum of its proper divisors (19360778960).

233630122609 is an frugal number, since it uses more digits than its factorization.

233630122609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74388 (or 37194 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 233630122609 in words is "two hundred thirty-three billion, six hundred thirty million, one hundred twenty-two thousand, six hundred nine".

Divisors: 1 13 169 37181 483353 6283589 1382426761 17971547893 233630122609