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230426224 = 24721931499
BaseRepresentation
bin11011011110000…
…00011001110000
3121001120212100121
431233000121300
5432442114344
634510500024
75465406400
oct1557003160
9531525317
10230426224
111090846a6
1265204614
133897b2a2
1422862800
1515369684
hexdbc0670

230426224 has 120 divisors (see below), whose sum is σ = 565440000. Its totient is φ = 90357120.

The previous prime is 230426201. The next prime is 230426227. The reversal of 230426224 is 422624032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230426227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461527 + ... + 462025.

It is an arithmetic number, because the mean of its divisors is an integer number (4712000).

Almost surely, 2230426224 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 230426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720000).

230426224 is an abundant number, since it is smaller than the sum of its proper divisors (335013776).

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

230426224 is a wasteful number, since it uses less digits than its factorization.

230426224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 230426224 is about 15179.7965730770. The cubic root of 230426224 is about 613.0708039428.

The spelling of 230426224 in words is "two hundred thirty million, four hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 49 56 62 76 98 112 124 133 152 196 217 248 266 304 392 434 496 499 532 589 784 868 931 998 1064 1178 1519 1736 1862 1996 2128 2356 3038 3472 3493 3724 3992 4123 4712 6076 6986 7448 7984 8246 9424 9481 12152 13972 14896 15469 16492 18962 24304 24451 27944 28861 30938 32984 37924 48902 55888 57722 61876 65968 66367 75848 97804 108283 115444 123752 132734 151696 195608 216566 230888 247504 265468 293911 391216 433132 461776 464569 530936 587822 757981 866264 929138 1061872 1175644 1515962 1732528 1858276 2057377 2351288 3031924 3716552 4114754 4702576 6063848 7433104 8229508 12127696 14401639 16459016 28803278 32918032 57606556 115213112 230426224