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230232224 = 2517423221
BaseRepresentation
bin11011011100100…
…01000010100000
3121001020000020102
431232101002200
5432414412344
634502401532
75463640655
oct1556210240
9531200212
10230232224
11108a61972
12651302a8
1338910bb1
1422811c2c
151532be4e
hexdb910a0

230232224 has 24 divisors (see below), whose sum is σ = 479933748. Its totient is φ = 108344320.

The previous prime is 230232203. The next prime is 230232229. The reversal of 230232224 is 422232032.

It can be written as a sum of positive squares in 2 ways, for example, as 220819600 + 9412624 = 14860^2 + 3068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230232196 and 230232205.

It is not an unprimeable number, because it can be changed into a prime (230232229) 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 3 ways as a sum of consecutive naturals, for example, 211067 + ... + 212154.

Almost surely, 2230232224 is an apocalyptic number.

It is an amenable number.

230232224 is an abundant number, since it is smaller than the sum of its proper divisors (249701524).

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

230232224 is a wasteful number, since it uses less digits than its factorization.

230232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423248 (or 423240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 230232224 is about 15173.4051550731. The cubic root of 230232224 is about 612.8987038413.

Adding to 230232224 its reverse (422232032), we get a palindrome (652464256).

The spelling of 230232224 in words is "two hundred thirty million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 423221 846442 1692884 3385768 6771536 7194757 13543072 14389514 28779028 57558056 115116112 230232224