Search a number
-
+
230648846032 = 24114727883081
BaseRepresentation
bin1101011011001110111…
…1100001011011010000
3211001100022111101022001
43112303233201123100
512234332101033112
6253543021123344
722443456562153
oct3266357413320
9731308441261
10230648846032
11898aa295920
123884b9b9554
1318999c52c27
14b240789c9a
155eee018c57
hex35b3be16d0

230648846032 has 40 divisors (see below), whose sum is σ = 497880312192. Its totient is φ = 102609734400.

The previous prime is 230648846027. The next prime is 230648846033.

230648846032 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230648846033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13933269 + ... + 13949812.

Almost surely, 2230648846032 is an apocalyptic number.

230648846032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230648846032 is an abundant number, since it is smaller than the sum of its proper divisors (267231466160).

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

230648846032 is a wasteful number, since it uses less digits than its factorization.

230648846032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883147 (or 27883141 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 230648846032 in words is "two hundred thirty billion, six hundred forty-eight million, eight hundred forty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 27883081 55766162 111532324 223064648 306713891 446129296 613427782 1226855564 1310504807 2453711128 2621009614 4907422256 5242019228 10484038456 14415552877 20968076912 28831105754 57662211508 115324423016 230648846032