Search a number
-
+
224374464770300 = 2252131564311033417
BaseRepresentation
bin110011000001000101000000…
…010001001111000011111100
31002102102222201020022120012222
4303001011000101033003330
5213402122400440122200
62113112112305144512
765155343255355665
oct6301050021170374
91072388636276188
10224374464770300
1165546748a29329
12211b933632b138
1398275626048b0
143d59ad3cb436c
151ae1764b2ed85
hexcc114044f0fc

224374464770300 has 72 divisors (see below), whose sum is σ = 524379431641296. Its totient is φ = 82840652674560.

The previous prime is 224374464770279. The next prime is 224374464770311. The reversal of 224374464770300 is 3077464473422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14819192 + ... + 25852608.

Almost surely, 2224374464770300 is an apocalyptic number.

224374464770300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224374464770300 is an abundant number, since it is smaller than the sum of its proper divisors (300004966870996).

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

224374464770300 is a wasteful number, since it uses less digits than its factorization.

224374464770300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049087 (or 11049080 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 53.

The spelling of 224374464770300 in words is "two hundred twenty-four trillion, three hundred seventy-four billion, four hundred sixty-four million, seven hundred seventy thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15643 31286 62572 78215 156430 203359 312860 391075 406718 782150 813436 1016795 1564300 2033590 4067180 5083975 10167950 11033417 20335900 22066834 44133668 55167085 110334170 143434421 220668340 275835425 286868842 551670850 573737684 717172105 1103341700 1434344210 2868688420 3585860525 7171721050 14343442100 172595742131 345191484262 690382968524 862978710655 1725957421310 2243744647703 3451914842620 4314893553275 4487489295406 8629787106550 8974978590812 11218723238515 17259574213100 22437446477030 44874892954060 56093616192575 112187232385150 224374464770300