Search a number
-
+
224466046650040 = 235132412339765773
BaseRepresentation
bin110011000010011010010010…
…111110011000011010111000
31002102202202002201210002101211
4303002122102332120122320
5213410122430420300130
62113222140034452504
765165064613452556
oct6302322276303270
91072682081702354
10224466046650040
1165581574575048
1221213034a34134
139833099086c90
143d60300d0abd6
151ae3d24ccba2a
hexcc2692f986b8

224466046650040 has 128 divisors (see below), whose sum is σ = 546389550907200. Its totient is φ = 82500477050880.

The previous prime is 224466046650029. The next prime is 224466046650113. The reversal of 224466046650040 is 40056640664422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292740594 + ... + 293506366.

Almost surely, 2224466046650040 is an apocalyptic number.

224466046650040 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 224466046650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273194775453600).

224466046650040 is an abundant number, since it is smaller than the sum of its proper divisors (321923504257160).

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

224466046650040 is a wasteful number, since it uses less digits than its factorization.

224466046650040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768377 (or 768373 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 224466046650040 in words is "two hundred twenty-four trillion, four hundred sixty-six billion, forty-six million, six hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 241 260 482 520 964 1205 1928 2339 2410 3133 4678 4820 6266 9356 9640 11695 12532 15665 18712 23390 25064 30407 31330 46780 60814 62660 93560 121628 125320 152035 243256 304070 563699 608140 765773 1127398 1216280 1531546 2254796 2818495 3063092 3828865 4509592 5636990 6126184 7328087 7657730 9955049 11273980 14656174 15315460 19910098 22547960 29312348 30630920 36640435 39820196 49775245 58624696 73280870 79640392 99550490 146561740 184551293 199100980 293123480 369102586 398201960 738205172 922756465 1476410344 1791143047 1845512930 2399166809 3582286094 3691025860 4798333618 7164572188 7382051720 8955715235 9596667236 11995834045 14329144376 17911430470 19193334472 23284859611 23991668090 35822860940 46569719222 47983336180 71645721880 93139438444 95966672360 116424298055 186278876888 232848596110 431665474327 465697192220 863330948654 931394384440 1726661897308 2158327371635 3453323794616 4316654743270 5611651166251 8633309486540 11223302332502 17266618973080 22446604665004 28058255831255 44893209330008 56116511662510 112233023325020 224466046650040