Search a number
-
+
230540033241 = 3274929774231
BaseRepresentation
bin1101011010110101000…
…0011011110011011001
3211001001201202010012200
43112231100123303121
512234121222030431
6253524133000413
722440665643540
oct3265520336331
9731051663180
10230540033241
11898539251a1
123881b483109
131898054506b
14b230143157
155ee46c2ee6
hex35ad41bcd9

230540033241 has 24 divisors (see below), whose sum is σ = 380586870144. Its totient is φ = 131732714880.

The previous prime is 230540033197. The next prime is 230540033249. The reversal of 230540033241 is 142330045032.

230540033241 is a `hidden beast` number, since 230 + 5 + 400 + 3 + 3 + 24 + 1 = 666.

It is not a de Polignac number, because 230540033241 - 26 = 230540033177 is a prime.

It is a super-2 number, since 2×2305400332412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230540033249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3068596 + ... + 3142826.

It is an arithmetic number, because the mean of its divisors is an integer number (15857786256).

Almost surely, 2230540033241 is an apocalyptic number.

230540033241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230540033241 is a deficient number, since it is larger than the sum of its proper divisors (150046836903).

230540033241 is a wasteful number, since it uses less digits than its factorization.

230540033241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123541 (or 123538 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 230540033241 its reverse (142330045032), we get a palindrome (372870078273).

The spelling of 230540033241 in words is "two hundred thirty billion, five hundred forty million, thirty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 49297 74231 147891 222693 345079 443673 519617 668079 1035237 1558851 3105711 4676553 3659365607 10978096821 25615559249 32934290463 76846677747 230540033241