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224526015340 = 225117920296367
BaseRepresentation
bin1101000100011011001…
…0110001101101101100
3210110112121022100120221
43101012302301231230
512134312124442330
6251051255421124
722135651432624
oct3210662615554
9713477270527
10224526015340
118724809a570
12376213847a4
13182325ab9a3
14ac1d525884
155c9171bb7a
hex3446cb1b6c

224526015340 has 96 divisors (see below), whose sum is σ = 521218252800. Its totient is φ = 80559947520.

The previous prime is 224526015323. The next prime is 224526015349. The reversal of 224526015340 is 43510625422.

224526015340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224526015296 and 224526015305.

It is not an unprimeable number, because it can be changed into a prime (224526015349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35260837 + ... + 35267203.

It is an arithmetic number, because the mean of its divisors is an integer number (5429356800).

Almost surely, 2224526015340 is an apocalyptic number.

224526015340 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 224526015340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260609126400).

224526015340 is an abundant number, since it is smaller than the sum of its proper divisors (296692237460).

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

224526015340 is a wasteful number, since it uses less digits than its factorization.

224526015340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 224526015340 in words is "two hundred twenty-four billion, five hundred twenty-six million, fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2029 3476 4058 4345 6367 8116 8690 10145 12734 17380 20290 22319 25468 31835 40580 44638 63670 70037 89276 111595 127340 140074 160291 223190 280148 320582 350185 446380 502993 641164 700370 801455 1005986 1400740 1602910 1763201 2011972 2514965 3205820 3526402 5029930 5532923 7052804 8816005 10059860 11065846 12918643 17632010 22131692 25837286 27664615 35264020 51674572 55329230 64593215 110658460 129186430 142105073 258372860 284210146 568420292 710525365 1020572797 1421050730 2041145594 2842101460 4082291188 5102863985 10205727970 11226300767 20411455940 22452601534 44905203068 56131503835 112263007670 224526015340