Search a number
-
+
2240522505 = 335137117981
BaseRepresentation
bin1000010110001011…
…1010100100001001
312210010221100002000
42011202322210021
514042033210010
61010154101213
7106344061404
oct20542724411
95703840060
102240522505
11a4a7977a1
1252641a809
1329924bc80
141737c8d3b
15d1a737c0
hex858ba909

2240522505 has 64 divisors (see below), whose sum is σ = 4350205440. Its totient is φ = 1087430400.

The previous prime is 2240522441. The next prime is 2240522509. The reversal of 2240522505 is 5052250422.

2240522505 is a `hidden beast` number, since 2 + 2 + 405 + 2 + 250 + 5 = 666.

It is not a de Polignac number, because 2240522505 - 26 = 2240522441 is a prime.

It is a super-2 number, since 2×22405225052 = 10039882190822950050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2240522509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115615 + ... + 133595.

It is an arithmetic number, because the mean of its divisors is an integer number (67971960).

Almost surely, 22240522505 is an apocalyptic number.

It is an amenable number.

2240522505 is a deficient number, since it is larger than the sum of its proper divisors (2109682935).

2240522505 is a wasteful number, since it uses less digits than its factorization.

2240522505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18073 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2240522505 is about 47334.1579094844. The cubic root of 2240522505 is about 1308.5282511961.

Adding to 2240522505 its reverse (5052250422), we get a palindrome (7292772927).

The spelling of 2240522505 in words is "two billion, two hundred forty million, five hundred twenty-two thousand, five hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 71 117 135 195 213 351 355 585 639 923 1065 1755 1917 2769 3195 4615 8307 9585 13845 17981 24921 41535 53943 89905 124605 161829 233753 269715 485487 701259 809145 1168765 1276651 2103777 2427435 3506295 3829953 6311331 6383255 10518885 11489859 16596463 19149765 31556655 34469577 49789389 57449295 82982315 149368167 172347885 248946945 448104501 746840835 2240522505