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224433241020340 = 22511372745179763
BaseRepresentation
bin110011000001111011101111…
…100110110101011110110100
31002102122121102110012102121121
4303001323233212311132310
5213404103234200122330
62113155112500153324
765162523635300362
oct6301735746653664
91072577373172547
10224433241020340
116556966a658990
12212087ba398844
13982cc6b673381
143d5c8ac014632
151ae3054c0517a
hexcc1eef9b57b4

224433241020340 has 72 divisors (see below), whose sum is σ = 528427835685792. Its totient is φ = 79406355438720.

The previous prime is 224433241020337. The next prime is 224433241020349. The reversal of 224433241020340 is 43020142334422.

It is a junction number, because it is equal to n+sod(n) for n = 224433241020296 and 224433241020305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224433241020349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372288702 + ... + 372891061.

It is an arithmetic number, because the mean of its divisors is an integer number (7339275495636).

Almost surely, 2224433241020340 is an apocalyptic number.

224433241020340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224433241020340 is an abundant number, since it is smaller than the sum of its proper divisors (303994594665452).

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

224433241020340 is a wasteful number, since it uses less digits than its factorization.

224433241020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745179857 (or 745179818 counting only the distinct ones).

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

Adding to 224433241020340 its reverse (43020142334422), we get a palindrome (267453383354762).

The spelling of 224433241020340 in words is "two hundred twenty-four trillion, four hundred thirty-three billion, two hundred forty-one million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1369 1628 2035 2738 4070 5476 6845 8140 13690 15059 27380 30118 60236 75295 150590 301180 745179763 1490359526 2980719052 3725898815 7451797630 8196977393 14903595260 16393954786 27571651231 32787909572 40984886965 55143302462 81969773930 110286604924 137858256155 163939547860 275716512310 303288163541 551433024620 606576327082 1020151095547 1213152654164 1516440817705 2040302191094 3032881635410 4080604382188 5100755477735 6065763270820 10201510955470 11221662051017 20403021910940 22443324102034 44886648204068 56108310255085 112216620510170 224433241020340