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230224434 = 231123374099
BaseRepresentation
bin11011011100011…
…11001000110010
3121001012121112220
431232033020302
5432414140214
634502301510
75463606156
oct1556171062
9531177486
10230224434
11108a57030
1265127896
133890a49b
142280d066
15153299a9
hexdb8f232

230224434 has 64 divisors (see below), whose sum is σ = 538444800. Its totient is φ = 64912320.

The previous prime is 230224429. The next prime is 230224439. The reversal of 230224434 is 434422032.

It is an interprime number because it is at equal distance from previous prime (230224429) and next prime (230224439).

It is not an unprimeable number, because it can be changed into a prime (230224439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54117 + ... + 58215.

It is an arithmetic number, because the mean of its divisors is an integer number (8413200).

Almost surely, 2230224434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230224434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222400).

230224434 is an abundant number, since it is smaller than the sum of its proper divisors (308220366).

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

230224434 is a wasteful number, since it uses less digits than its factorization.

230224434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 230224434 is about 15173.1484537653. The cubic root of 230224434 is about 612.8917912052.

Adding to 230224434 its reverse (434422032), we get a palindrome (664646466).

The spelling of 230224434 in words is "two hundred thirty million, two hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 4099 5106 8198 9361 12297 18722 24594 28083 45089 56166 90178 94277 135267 151663 188554 270534 282831 303326 454989 565662 909978 1037047 1668293 2074094 3111141 3336586 3488249 5004879 6222282 6976498 10009758 10464747 20929494 38370739 76741478 115112217 230224434