Search a number
-
+
230024944 = 24191515011
BaseRepresentation
bin11011011010111…
…10011011110000
3121000211110220101
431231132123300
5432341244234
634454122144
75462115442
oct1555363360
9530743811
10230024944
11108930166
1265050354
133886a746
142279a492
15152da814
hexdb5e6f0

230024944 has 40 divisors (see below), whose sum is σ = 472330880. Its totient is φ = 108216000.

The previous prime is 230024941. The next prime is 230024953. The reversal of 230024944 is 449420032.

It is a super-2 number, since 2×2300249442 = 105822949724406272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230024941) 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 7 ways as a sum of consecutive naturals, for example, 43399 + ... + 48409.

It is an arithmetic number, because the mean of its divisors is an integer number (11808272).

Almost surely, 2230024944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230024944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236165440).

230024944 is an abundant number, since it is smaller than the sum of its proper divisors (242305936).

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

230024944 is a wasteful number, since it uses less digits than its factorization.

230024944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 230024944 is about 15166.5732451335. The cubic root of 230024944 is about 612.7147160025.

Adding to 230024944 its reverse (449420032), we get a palindrome (679444976).

The spelling of 230024944 in words is "two hundred thirty million, twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 151 152 302 304 604 1208 2416 2869 5011 5738 10022 11476 20044 22952 40088 45904 80176 95209 190418 380836 756661 761672 1513322 1523344 3026644 6053288 12106576 14376559 28753118 57506236 115012472 230024944