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1334224112 = 2413232959163
BaseRepresentation
bin100111110000110…
…1010010011110000
310102222120121101212
41033201222103300
510213030132422
6340221015252
745030501134
oct11741522360
93388517355
101334224112
11625153361
123129b4528
1318355b830
14c92ad3c4
157c2009e2
hex4f86a4f0

1334224112 has 160 divisors (see below), whose sum is σ = 3074803200. Its totient is φ = 555641856.

The previous prime is 1334224063. The next prime is 1334224123. The reversal of 1334224112 is 2114224331.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8185343 + ... + 8185505.

It is an arithmetic number, because the mean of its divisors is an integer number (19217520).

Almost surely, 21334224112 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 1334224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537401600).

1334224112 is an abundant number, since it is smaller than the sum of its proper divisors (1740579088).

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

1334224112 is a wasteful number, since it uses less digits than its factorization.

1334224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 1334224112 is about 36527.0326196914. The cubic root of 1334224112 is about 1100.8874689304.

Adding to 1334224112 its reverse (2114224331), we get a palindrome (3448448443).

The spelling of 1334224112 in words is "one billion, three hundred thirty-four million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 29 46 52 58 59 92 104 116 118 163 184 208 232 236 299 326 368 377 464 472 598 652 667 754 767 944 1196 1304 1334 1357 1508 1534 1711 2119 2392 2608 2668 2714 3016 3068 3422 3749 4238 4727 4784 5336 5428 6032 6136 6844 7498 8476 8671 9454 9617 10672 10856 12272 13688 14996 16952 17342 17641 18908 19234 21712 22243 27376 29992 33904 34684 35282 37816 38468 39353 44486 48737 59984 61451 69368 70564 75632 76936 78706 88972 97474 108721 122902 125021 138736 141128 153872 157412 177944 194948 217442 221191 245804 250042 278893 282256 314824 355888 389896 434884 442382 491608 500084 511589 557786 629648 779792 869768 884764 983216 1000168 1023178 1115572 1413373 1739536 1769528 2000336 2046356 2231144 2826746 2875483 3539056 3625609 4092712 4462288 5653492 5750966 6414539 7251218 8185424 11306984 11501932 12829078 14502436 22613968 23003864 25658156 29004872 46007728 51316312 58009744 83389007 102632624 166778014 333556028 667112056 1334224112