Search a number
-
+
230032605645 = 33516451103577
BaseRepresentation
bin1101011000111100000…
…0110000000111001101
3210222202100221010102000
43112033000300013031
512232101321340040
6253401525022513
722422264613023
oct3261700600715
9728670833360
10230032605645
1189613455347
12386b9554a39
13188cc38c24b
14b1c29b6713
155eb4d8e130
hex358f0301cd

230032605645 has 32 divisors (see below), whose sum is σ = 408975661440. Its totient is φ = 122675414400.

The previous prime is 230032605643. The next prime is 230032605689. The reversal of 230032605645 is 546506230032.

230032605645 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 3 + 2 + 6 + 0 + 5 + 645 = 666.

It is not a de Polignac number, because 230032605645 - 21 = 230032605643 is a prime.

It is a super-3 number, since 3×2300326056453 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230032605643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169097 + ... + 2272673.

It is an arithmetic number, because the mean of its divisors is an integer number (12780489420).

Almost surely, 2230032605645 is an apocalyptic number.

It is an amenable number.

230032605645 is a deficient number, since it is larger than the sum of its proper divisors (178943055795).

230032605645 is a wasteful number, since it uses less digits than its factorization.

230032605645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120042 (or 120036 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 230032605645 its reverse (546506230032), we get a palindrome (776538835677).

The spelling of 230032605645 in words is "two hundred thirty billion, thirty-two million, six hundred five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 16451 49353 82255 103577 148059 246765 310731 444177 517885 740295 932193 1553655 2220885 2796579 4660965 13982895 1703945227 5111835681 8519726135 15335507043 25559178405 46006521129 76677535215 230032605645