Search a number
-
+
2244332453445 = 3251723297125929
BaseRepresentation
bin100000101010001100101…
…000110111111001000101
321221120000101110111210200
4200222030220313321011
5243232343102002240
64435010533241113
7321101436043335
oct40521450677105
97846011414720
102244332453445
117958a8184465
12302b72493199
131338413a8c04
147a8aa6b30c5
153d5a847d930
hex20a8ca37e45

2244332453445 has 48 divisors (see below), whose sum is σ = 4119219664560. Its totient is φ = 1126509576192.

The previous prime is 2244332453413. The next prime is 2244332453491. The reversal of 2244332453445 is 5443542334422.

2244332453445 is a `hidden beast` number, since 2 + 2 + 4 + 43 + 32 + 4 + 534 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28277449281 + 2216055004164 = 168159^2 + 1488642^2 .

It is not a de Polignac number, because 2244332453445 - 25 = 2244332453413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2244332453445.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17759241 + ... + 17885169.

It is an arithmetic number, because the mean of its divisors is an integer number (85817076345).

Almost surely, 22244332453445 is an apocalyptic number.

It is an amenable number.

2244332453445 is a deficient number, since it is larger than the sum of its proper divisors (1874887211115).

2244332453445 is a wasteful number, since it uses less digits than its factorization.

2244332453445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149254 (or 149251 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 45.

Adding to 2244332453445 its reverse (5443542334422), we get a palindrome (7687874787867).

The spelling of 2244332453445 in words is "two trillion, two hundred forty-four billion, three hundred thirty-two million, four hundred fifty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 23297 69891 116485 125929 209673 349455 377787 396049 629645 1048365 1133361 1188147 1888935 1980245 2140793 3564441 5666805 5940735 6422379 10703965 17822205 19267137 32111895 96335685 2933767913 8801303739 14668839565 26403911217 44006518695 49874054521 132019556085 149622163563 249370272605 448866490689 748110817815 2244332453445