Search a number
-
+
223304044014340 = 2253710924111487389
BaseRepresentation
bin110010110001100000000110…
…001110000110101100000100
31002021122122202202211002012021
4302301200012032012230010
5213232103140231424330
62110532243413332524
765015120244150352
oct6261400616065404
91067578682732167
10223304044014340
116517379335a173
12210659a0637144
13977a6339938b3
143d1dd8b00a7d2
151ac39b5d9467a
hexcb1806386b04

223304044014340 has 96 divisors (see below), whose sum is σ = 488047737592800. Its totient is φ = 85752891924480.

The previous prime is 223304044014329. The next prime is 223304044014341. The reversal of 223304044014340 is 43410440403322.

It can be written as a sum of positive squares in 16 ways, for example, as 2981617213696 + 220322426800644 = 1726736^2 + 14843262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 223304044014296 and 223304044014305.

It is not an unprimeable number, because it can be changed into a prime (223304044014341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13695366 + ... + 25182754.

It is an arithmetic number, because the mean of its divisors is an integer number (5083830599925).

Almost surely, 2223304044014340 is an apocalyptic number.

223304044014340 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 223304044014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244023868796400).

223304044014340 is an abundant number, since it is smaller than the sum of its proper divisors (264743693578460).

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

223304044014340 is a wasteful number, since it uses less digits than its factorization.

223304044014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487785 (or 11487783 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 223304044014340 its reverse (43410440403322), we get a palindrome (266714484417662).

The spelling of 223304044014340 in words is "two hundred twenty-three trillion, three hundred four billion, forty-four million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 241 370 436 482 545 740 964 1090 1205 2180 2410 4033 4820 8066 8917 16132 17834 20165 26269 35668 40330 44585 52538 80660 89170 105076 131345 178340 262690 525380 971953 1943906 3887812 4859765 9719530 11487389 19439060 22974778 45949556 57436945 114873890 229747780 425033393 850066786 1252125401 1700133572 2125166965 2504250802 2768460749 4250333930 5008501604 5536921498 6260627005 8500667860 11073842996 12521254010 13842303745 25042508020 27684607490 46328639837 55369214980 92657279674 102433047713 185314559348 204866095426 231643199185 301762221641 409732190852 463286398370 512165238565 603524443282 926572796740 1024330477130 1207048886564 1508811108205 2048660954260 3017622216410 6035244432820 11165202200717 22330404401434 44660808802868 55826011003585 111652022007170 223304044014340