Search a number
-
+
2224312122033 = 322516411536107
BaseRepresentation
bin100000010111100011010…
…101010111101010110001
321212122100010200022002200
4200113203111113222301
5242420342400401113
64421500200133413
7316462346040231
oct40274325275261
97778303608080
102224312122033
11788364229121
122bb105767269
131319a0733071
147992b817cc1
153ccd5a48873
hex205e3557ab1

2224312122033 has 24 divisors (see below), whose sum is σ = 3230730056736. Its totient is φ = 1474661760000.

The previous prime is 2224312121989. The next prime is 2224312122079. The reversal of 2224312122033 is 3302212134222.

2224312122033 is a `hidden beast` number, since 2 + 2 + 2 + 431 + 2 + 1 + 220 + 3 + 3 = 666.

2224312122033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2224312122033 - 217 = 2224311990961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2224312121988 and 2224312122006.

It is not an unprimeable number, because it can be changed into a prime (2224314122033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679966 + ... + 2216072.

It is an arithmetic number, because the mean of its divisors is an integer number (134613752364).

Almost surely, 22224312122033 is an apocalyptic number.

It is an amenable number.

2224312122033 is a deficient number, since it is larger than the sum of its proper divisors (1006417934703).

2224312122033 is a wasteful number, since it uses less digits than its factorization.

2224312122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537005 (or 1537002 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2224312122033 its reverse (3302212134222), we get a palindrome (5526524256255).

The spelling of 2224312122033 in words is "two trillion, two hundred twenty-four billion, three hundred twelve million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 251 641 753 1923 2259 5769 160891 482673 1448019 1536107 4608321 13824963 385562857 984644587 1156688571 2953933761 3470065713 8861801283 247145791337 741437374011 2224312122033