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224124040420 = 225722328325367
BaseRepresentation
bin1101000010111011010…
…1010111010011100100
3210102111120220220122221
43100232311113103210
512133001223243140
6250543340002124
722123000624240
oct3205665272344
9712446826587
10224124040420
11870611a5895
123752a830344
131819a2284c7
14abc1da9420
155c6b2b814a
hex342ed574e4

224124040420 has 96 divisors (see below), whose sum is σ = 542240391168. Its totient is φ = 76224627072.

The previous prime is 224124040397. The next prime is 224124040429. The reversal of 224124040420 is 24040421422.

It is not an unprimeable number, because it can be changed into a prime (224124040429) 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, 8822577 + ... + 8847943.

It is an arithmetic number, because the mean of its divisors is an integer number (5648337408).

Almost surely, 2224124040420 is an apocalyptic number.

224124040420 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 224124040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271120195584).

224124040420 is an abundant number, since it is smaller than the sum of its proper divisors (318116350748).

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

224124040420 is a wasteful number, since it uses less digits than its factorization.

224124040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25889 (or 25887 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 224124040420 its reverse (24040421422), we get a palindrome (248164461842).

The spelling of 224124040420 in words is "two hundred twenty-four billion, one hundred twenty-four million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 283 446 566 892 1115 1132 1415 1561 1981 2230 2830 3122 3962 4460 5660 6244 7805 7924 9905 15610 19810 25367 31220 39620 50734 63109 101468 126218 126835 177569 252436 253670 315545 355138 441763 507340 631090 710276 883526 887845 1262180 1767052 1775690 2208815 3551380 4417630 5656841 7178861 8835260 11313682 14357722 22627364 28284205 28715444 35894305 39597887 50252027 56568410 71788610 79195774 100504054 113136820 143577220 158391548 197989435 201008108 251260135 395978870 502520270 791957740 1005040540 1600886003 3201772006 6403544012 8004430015 11206202021 16008860030 22412404042 32017720060 44824808084 56031010105 112062020210 224124040420