Search a number
-
+
230232224000322 = 23216205717892699
BaseRepresentation
bin110100010110010100011101…
…111011010110100101000010
31010012011222121112202022211100
4310112110131323112211002
5220134111043321002242
62133355120142555230
766331505065315605
oct6426243573264502
91105158545668740
10230232224000322
11673a4a35340a25
12219a4669b98b16
139b60a61a97bbb
1440bd428a2433c
151b93d062c454c
hexd1651ded6942

230232224000322 has 24 divisors (see below), whose sum is σ = 498836856351600. Its totient is φ = 76744017587160.

The previous prime is 230232224000231. The next prime is 230232224000327. The reversal of 230232224000322 is 223000422232032.

230232224000322 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 222 + 400 + 0 + 32 + 2 = 666.

230232224000322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302322240003222 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230232224000327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25223929 + ... + 33116627.

It is an arithmetic number, because the mean of its divisors is an integer number (20784869014650).

Almost surely, 2230232224000322 is an apocalyptic number.

230232224000322 is an abundant number, since it is smaller than the sum of its proper divisors (268604632351278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230232224000322 is a wasteful number, since it uses less digits than its factorization.

230232224000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513278 (or 9513275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 230232224000322 its reverse (223000422232032), we get a palindrome (453232646232354).

The spelling of 230232224000322 in words is "two hundred thirty trillion, two hundred thirty-two billion, two hundred twenty-four million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 1620571 3241142 4861713 7892699 9723426 14585139 15785398 23678097 29170278 47356194 71034291 142068582 12790679111129 25581358222258 38372037333387 76744074666774 115116112000161 230232224000322