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1230221424 = 2431923223263
BaseRepresentation
bin100100101010011…
…1011000001110000
310011201212201112110
41021110323001300
510004414041144
6322023525320
742325465245
oct11124730160
93151781473
101230221424
11581478623
122a3bb9840
13167b46193
14b95595cc
157300a0b9
hex4953b070

1230221424 has 160 divisors (see below), whose sum is σ = 3519774720. Its totient is φ = 368527104.

The previous prime is 1230221407. The next prime is 1230221431. The reversal of 1230221424 is 4241220321.

It is a self number, because there is not a number n which added to its sum of digits gives 1230221424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4677517 + ... + 4677779.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 21230221424 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 1230221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759887360).

1230221424 is an abundant number, since it is smaller than the sum of its proper divisors (2289553296).

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

1230221424 is a wasteful number, since it uses less digits than its factorization.

1230221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1230221424 is about 35074.5124556279. The cubic root of 1230221424 is about 1071.5055592780.

Adding to 1230221424 its reverse (4241220321), we get a palindrome (5471441745).

The spelling of 1230221424 in words is "one billion, two hundred thirty million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 223 228 263 276 304 368 437 446 456 526 552 669 789 874 892 912 1052 1104 1311 1338 1578 1748 1784 2104 2622 2676 3156 3496 3568 4208 4237 4997 5129 5244 5352 6049 6312 6992 8474 9994 10258 10488 10704 12098 12624 12711 14991 15387 16948 18147 19988 20516 20976 24196 25422 29982 30774 33896 36294 39976 41032 48392 50844 58649 59964 61548 67792 72588 79952 82064 96784 97451 101688 114931 117298 119928 123096 145176 175947 194902 203376 229862 234596 239856 246192 290352 292353 344793 351894 389804 459724 469192 584706 689586 703788 779608 919448 938384 1114331 1169412 1348927 1379172 1407576 1559216 1838896 2228662 2338824 2697854 2758344 2815152 3342993 4046781 4457324 4677648 5395708 5516688 6685986 8093562 8914648 10791416 13371972 16187124 17829296 21582832 25629613 26743944 32374248 51259226 53487888 64748496 76888839 102518452 153777678 205036904 307555356 410073808 615110712 1230221424