Search a number
-
+
2243220422320 = 24534995384307
BaseRepresentation
bin100000101001001010010…
…110110011111010110000
321221110010212222110212201
4200221022112303322300
5243223103412003240
64434304330432544
7321032043661153
oct40511226637260
97843125873781
102243220422320
117953874a1a79
12302901b92754
131336c4ba5027
147a802b21c9a
153d540a1cd9a
hex20a4a5b3eb0

2243220422320 has 80 divisors (see below), whose sum is σ = 5235982063200. Its totient is φ = 893767698432.

The previous prime is 2243220422251. The next prime is 2243220422327. The reversal of 2243220422320 is 232240223422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22432204223202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2243220422327) 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 15 ways as a sum of consecutive naturals, for example, 26565607 + ... + 26649913.

It is an arithmetic number, because the mean of its divisors is an integer number (65449775790).

Almost surely, 22243220422320 is an apocalyptic number.

2243220422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243220422320 is an abundant number, since it is smaller than the sum of its proper divisors (2992761640880).

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

2243220422320 is a wasteful number, since it uses less digits than its factorization.

2243220422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85622 (or 85616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 2243220422320 its reverse (232240223422), we get a palindrome (2475460645742).

The spelling of 2243220422320 in words is "two trillion, two hundred forty-three billion, two hundred twenty million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 953 1396 1745 1906 2792 3490 3812 4765 5584 6980 7624 9530 13960 15248 19060 27920 38120 76240 84307 168614 332597 337228 421535 665194 674456 843070 1330388 1348912 1662985 1686140 2660776 3325970 3372280 5321552 6651940 6744560 13303880 26607760 29423143 58846286 80344571 117692572 147115715 160689142 235385144 294231430 321378284 401722855 470770288 588462860 642756568 803445710 1176925720 1285513136 1606891420 2353851440 3213782840 6427565680 28040255279 56080510558 112161021116 140201276395 224322042232 280402552790 448644084464 560805105580 1121610211160 2243220422320