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230331430224 = 243578463089
BaseRepresentation
bin1101011010000011010…
…0101011010101010000
3211000112012012222200000
43112200310223111100
512233204321231344
6253451321530000
722432553565510
oct3264064532520
9730465188600
10230331430224
11897570a6705
1238781643900
131894926801c
14b210561840
155ed1219a69
hex35a0d2b550

230331430224 has 120 divisors (see below), whose sum is σ = 763980060480. Its totient is φ = 65808972288.

The previous prime is 230331430187. The next prime is 230331430229. The reversal of 230331430224 is 422034133032.

230331430224 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 3 + 1 + 430 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230331430229) 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 23 ways as a sum of consecutive naturals, for example, 4204329 + ... + 4258760.

It is an arithmetic number, because the mean of its divisors is an integer number (6366500504).

Almost surely, 2230331430224 is an apocalyptic number.

230331430224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230331430224 is an abundant number, since it is smaller than the sum of its proper divisors (533648630256).

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

230331430224 is an equidigital number, since it uses as much as digits as its factorization.

230331430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463119 (or 8463101 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230331430224 its reverse (422034133032), we get a palindrome (652365563256).

The spelling of 230331430224 in words is "two hundred thirty billion, three hundred thirty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 8463089 16926178 25389267 33852356 50778534 59241623 67704712 76167801 101557068 118483246 135409424 152335602 177724869 203114136 228503403 236966492 304671204 355449738 406228272 457006806 473932984 533174607 609342408 685510209 710899476 914013612 947865968 1066349214 1218684816 1371020418 1421798952 1599523821 1828027224 2056530627 2132698428 2742040836 2843597904 3199047642 3656054448 4113061254 4265396856 4798571463 5484081672 6398095284 8226122508 8530793712 9597142926 10968163344 12796190568 14395714389 16452245016 19194285852 25592381136 28791428778 32904490032 38388571704 57582857556 76777143408 115165715112 230331430224