Search a number
-
+
224465322673260 = 22335537842953273
BaseRepresentation
bin110011000010011001100111…
…110100101000010001101100
31002102202200020021111020222000
4303002121213310220101230
5213410114440101021020
62113221540133252300
765165040642660234
oct6302314764502154
91072680207436860
10224465322673260
1165581232939629
1221212a72494090
139832cb20a1356
143d60272ad0cc4
151ae3cd1470090
hexcc2667d2846c

224465322673260 has 96 divisors (see below), whose sum is σ = 711512721017280. Its totient is φ = 58728034100736.

The previous prime is 224465322673231. The next prime is 224465322673297. The reversal of 224465322673260 is 62376223564422.

224465322673260 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 6 + 53 + 2 + 267 + 326 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 224465322673197 and 224465322673206.

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, 3921448017 + ... + 3921505256.

It is an arithmetic number, because the mean of its divisors is an integer number (7411590843930).

Almost surely, 2224465322673260 is an apocalyptic number.

224465322673260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224465322673260 is an abundant number, since it is smaller than the sum of its proper divisors (487047398344020).

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

224465322673260 is a wasteful number, since it uses less digits than its factorization.

224465322673260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842953344 (or 7842953336 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 224465322673260 in words is "two hundred twenty-four trillion, four hundred sixty-five billion, three hundred twenty-two million, six hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 7842953273 15685906546 23528859819 31371813092 39214766365 47057719638 70586579457 78429532730 94115439276 117644299095 141173158914 156859065460 211759738371 235288598190 282346317828 352932897285 415676523469 423519476742 470577196380 705865794570 831353046938 847038953484 1058798691855 1247029570407 1411731589140 1662706093876 2078382617345 2117597383710 2494059140814 3741088711221 4156765234690 4235194767420 4988118281628 6235147852035 7482177422442 8313530469380 11223266133663 12470295704070 14964354844884 18705443556105 22446532267326 24940591408140 37410887112210 44893064534652 56116330668315 74821774224420 112232661336630 224465322673260