Search a number
-
+
224051522005540 = 225237914251432631
BaseRepresentation
bin110010111100011000001111…
…011000010110101000100100
31002101022010010210112022212201
4302330120033120112220210
5213331330004113134130
62112303503121024244
765123121403224325
oct6274301730265044
91071263123468781
10224051522005540
1165431798185319
1221166829485084
139802c77536548
143d48219b0244c
151ad81631b9bca
hexcbc60f616a24

224051522005540 has 96 divisors (see below), whose sum is σ = 497215858728960. Its totient is φ = 84632811120000.

The previous prime is 224051522005513. The next prime is 224051522005541. The reversal of 224051522005540 is 45500225150422.

It is a self number, because there is not a number n which added to its sum of digits gives 224051522005540.

It is not an unprimeable number, because it can be changed into a prime (224051522005541) 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, 517665025 + ... + 518097655.

It is an arithmetic number, because the mean of its divisors is an integer number (5179331861760).

Almost surely, 2224051522005540 is an apocalyptic number.

224051522005540 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 224051522005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248607929364480).

224051522005540 is an abundant number, since it is smaller than the sum of its proper divisors (273164336723420).

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

224051522005540 is a wasteful number, since it uses less digits than its factorization.

224051522005540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446993 (or 446991 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

Adding to 224051522005540 its reverse (45500225150422), we get a palindrome (269551747155962).

The spelling of 224051522005540 in words is "two hundred twenty-four trillion, fifty-one billion, five hundred twenty-two million, five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 7268 9085 14251 18170 28502 36340 57004 71255 142510 285020 327773 432631 655546 865262 1125829 1311092 1638865 1730524 2163155 2251658 3277730 4326310 4503316 5629145 6555460 8652620 9950513 11258290 19901026 22516580 25894067 34177849 39802052 49752565 51788134 68355698 99505130 103576268 129470335 136711396 170889245 199010260 258940670 341778490 517881340 683556980 786090527 1572181054 3144362108 3930452635 6165424381 7860905270 12330848762 15721810540 24661697524 30827121905 61654243810 123308487620 141804760763 283609521526 487068526099 567219043052 709023803815 974137052198 1418047607630 1948274104396 2435342630495 2836095215260 4870685260990 9741370521980 11202576100277 22405152200554 44810304401108 56012880501385 112025761002770 224051522005540