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230024412 = 2232193761149
BaseRepresentation
bin11011011010111…
…10010011011100
3121000211110011200
431231132103130
5432341240122
634454115500
75462114052
oct1555362334
9530743150
10230024412
1110892a822
126504bb90
133886a427
142279a1d2
15152da5ac
hexdb5e4dc

230024412 has 144 divisors (see below), whose sum is σ = 643188000. Its totient is φ = 69050880.

The previous prime is 230024411. The next prime is 230024423. The reversal of 230024412 is 214420032.

230024412 is a `hidden beast` number, since 230 + 0 + 24 + 412 = 666.

It is a super-2 number, since 2×2300244122 = 105822460231891488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230024411) 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 47 ways as a sum of consecutive naturals, for example, 1543714 + ... + 1543862.

Almost surely, 2230024412 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 230024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594000).

230024412 is an abundant number, since it is smaller than the sum of its proper divisors (413163588).

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

230024412 is a wasteful number, since it uses less digits than its factorization.

230024412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230024412 is about 15166.5557065538. Note that the first 3 decimals coincide. The cubic root of 230024412 is about 612.7142436414.

Adding to 230024412 its reverse (214420032), we get a palindrome (444444444).

The spelling of 230024412 in words is "two hundred thirty million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 61 74 76 111 114 122 148 149 171 183 222 228 244 298 333 342 366 444 447 549 596 666 684 703 732 894 1098 1159 1332 1341 1406 1788 2109 2196 2257 2318 2682 2812 2831 3477 4218 4514 4636 5364 5513 5662 6327 6771 6954 8436 8493 9028 9089 10431 11026 11324 12654 13542 13908 16539 16986 18178 20313 20862 22052 25308 25479 27084 27267 33078 33972 36356 40626 41724 42883 49617 50958 54534 66156 81252 81801 85766 99234 101916 104747 109068 128649 163602 171532 172691 198468 209494 257298 314241 327204 336293 345382 385947 418988 514596 518073 628482 672586 690764 771894 942723 1008879 1036146 1256964 1345172 1543788 1554219 1885446 2017758 2072292 3026637 3108438 3770892 4035516 6053274 6216876 6389567 12106548 12779134 19168701 25558268 38337402 57506103 76674804 115012206 230024412