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230424792 = 233136773151
BaseRepresentation
bin11011011110000…
…00000011011000
3121001120210101120
431233000003120
5432442043132
634510445240
75465402253
oct1557000330
9531523346
10230424792
11109083614
1265203820
133897a740
142286209a
151536902c
hexdbc00d8

230424792 has 128 divisors (see below), whose sum is σ = 642485760. Its totient is φ = 68428800.

The previous prime is 230424791. The next prime is 230424811. The reversal of 230424792 is 297424032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230424791) 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, 1525917 + ... + 1526067.

It is an arithmetic number, because the mean of its divisors is an integer number (5019420).

Almost surely, 2230424792 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 230424792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321242880).

230424792 is an abundant number, since it is smaller than the sum of its proper divisors (412060968).

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

230424792 is a wasteful number, since it uses less digits than its factorization.

230424792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 230424792 is about 15179.7494050462. The cubic root of 230424792 is about 613.0695339496.

The spelling of 230424792 in words is "two hundred thirty million, four hundred twenty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 73 78 104 134 146 151 156 201 219 268 292 302 312 402 438 453 536 584 604 804 871 876 906 949 1208 1608 1742 1752 1812 1898 1963 2613 2847 3484 3624 3796 3926 4891 5226 5694 5889 6968 7592 7852 9782 10117 10452 11023 11388 11778 14673 15704 19564 20234 20904 22046 22776 23556 29346 30351 33069 39128 40468 44092 47112 58692 60702 63583 66138 80936 88184 117384 121404 127166 131521 132276 143299 190749 242808 254332 263042 264552 286598 381498 394563 429897 508664 526084 573196 738541 762996 789126 859794 1052168 1146392 1477082 1525992 1578252 1719588 2215623 2954164 3156504 3439176 4431246 5908328 8862492 9601033 17724984 19202066 28803099 38404132 57606198 76808264 115212396 230424792