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224410404140 = 2251311342118143
BaseRepresentation
bin1101000011111111100…
…1110000010100101100
3210110020112202200211122
43100333321300110230
512134043030413030
6251032005440112
722133045651006
oct3207771602454
9713215680748
10224410404140
118719890611a
12375aa710038
13182146605b0
14ac0c02d376
155c864d18e5
hex343fe7052c

224410404140 has 96 divisors (see below), whose sum is σ = 513248472576. Its totient is φ = 81926369280.

The previous prime is 224410404077. The next prime is 224410404173. The reversal of 224410404140 is 41404014422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12359909 + ... + 12378051.

It is an arithmetic number, because the mean of its divisors is an integer number (5346338256).

Almost surely, 2224410404140 is an apocalyptic number.

224410404140 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 224410404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256624236288).

224410404140 is an abundant number, since it is smaller than the sum of its proper divisors (288838068436).

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

224410404140 is a wasteful number, since it uses less digits than its factorization.

224410404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18699 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 224410404140 its reverse (41404014422), we get a palindrome (265814418562).

The spelling of 224410404140 in words is "two hundred twenty-four billion, four hundred ten million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 421 452 565 842 1130 1469 1684 2105 2260 2938 4210 5473 5876 7345 8420 10946 14690 18143 21892 27365 29380 36286 47573 54730 72572 90715 95146 109460 181430 190292 235859 237865 362860 471718 475730 618449 943436 951460 1179295 1236898 2050159 2358590 2473796 3092245 4100318 4717180 6184490 7638203 8200636 10250795 12368980 15276406 20501590 26652067 30552812 38191015 41003180 53304134 76382030 99296639 106608268 133260335 152764060 198593278 266520670 397186556 496483195 533041340 863116939 992966390 1726233878 1985932780 3452467756 4315584695 8631169390 11220520207 17262338780 22441040414 44882080828 56102601035 112205202070 224410404140