Search a number
-
+
230820401 = 7612412243
BaseRepresentation
bin11011100001000…
…00101000110001
3121002022220001202
431300200220301
5433042223101
634523140545
75501640530
oct1560405061
9532286052
10230820401
11109323869
1265374755
1338a88826
1422926317
15153e636b
hexdc20a31

230820401 has 16 divisors (see below), whose sum is σ = 269351808. Its totient is φ = 193708800.

The previous prime is 230820347. The next prime is 230820413. The reversal of 230820401 is 104028032.

It is a cyclic number.

It is not a de Polignac number, because 230820401 - 210 = 230819377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230820701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101786 + ... + 104028.

It is an arithmetic number, because the mean of its divisors is an integer number (16834488).

Almost surely, 2230820401 is an apocalyptic number.

It is an amenable number.

230820401 is a deficient number, since it is larger than the sum of its proper divisors (38531407).

230820401 is a wasteful number, since it uses less digits than its factorization.

230820401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 230820401 is about 15192.7746313832. The cubic root of 230820401 is about 613.4201865490.

Adding to 230820401 its reverse (104028032), we get a palindrome (334848433).

The spelling of 230820401 in words is "two hundred thirty million, eight hundred twenty thousand, four hundred one".

Divisors: 1 7 61 241 427 1687 2243 14701 15701 102907 136823 540563 957761 3783941 32974343 230820401