Search a number
-
+
223441511440 = 24571724379631
BaseRepresentation
bin1101000000011000100…
…1101110010000010000
3210100202000121211220211
43100012021232100100
512130102011331230
6250351515013504
722100042336650
oct3200611562020
9710660554824
10223441511440
11868409a9754
123737a13a294
13180bb9c53c4
14ab5949c360
155c2b3e742a
hex340626e410

223441511440 has 160 divisors (see below), whose sum is σ = 628963743744. Its totient is φ = 72065064960.

The previous prime is 223441511437. The next prime is 223441511467. The reversal of 223441511440 is 44115144322.

It is a happy number.

223441511440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2234415114402 (a number of 23 digits) contains 22 as substring.

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, 23195425 + ... + 23205055.

Almost surely, 2223441511440 is an apocalyptic number.

223441511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223441511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314481871872).

223441511440 is an abundant number, since it is smaller than the sum of its proper divisors (405522232304).

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

223441511440 is a wasteful number, since it uses less digits than its factorization.

223441511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 223441511440 its reverse (44115144322), we get a palindrome (267556655762).

The spelling of 223441511440 in words is "two hundred twenty-three billion, four hundred forty-one million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 2437 4760 4874 9520 9631 9748 12185 17059 19262 19496 24370 34118 38524 38992 41429 48155 48740 67417 68236 77048 82858 85295 96310 97480 134834 136472 154096 163727 165716 170590 192620 194960 207145 269668 272944 290003 327454 331432 337085 341180 385240 414290 539336 580006 654908 662864 674170 682360 770480 818635 828580 1078672 1146089 1160012 1309816 1348340 1364720 1450015 1637270 1657160 2292178 2320024 2619632 2696680 2900030 3274540 3314320 4584356 4640048 5393360 5730445 5800060 6549080 9168712 11460890 11600120 13098160 18337424 22921780 23200240 23470747 45843560 46941494 91687120 93882988 117353735 164295229 187765976 234707470 328590458 375531952 399002699 469414940 657180916 798005398 821476145 938829880 1314361832 1596010796 1642952290 1877659760 1995013495 2628723664 2793018893 3192021592 3285904580 3990026990 5586037786 6384043184 6571809160 7980053980 11172075572 13143618320 13965094465 15960107960 22344151144 27930188930 31920215920 44688302288 55860377860 111720755720 223441511440