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2248785 = 325711259
BaseRepresentation
bin1000100101000001010001
311020020202100
420211001101
51033430120
6120111013
725054140
oct10450121
94206670
102248785
1112a6600
12905469
13609756
14427757
152e6490
hex225051

2248785 has 72 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 918720.

The previous prime is 2248781. The next prime is 2248787. The reversal of 2248785 is 5878422.

It is a happy number.

It is not a de Polignac number, because 2248785 - 22 = 2248781 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

2248785 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2248781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38086 + ... + 38144.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

22248785 is an apocalyptic number.

It is an amenable number.

2248785 is an abundant number, since it is smaller than the sum of its proper divisors (2730735).

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

2248785 is a wasteful number, since it uses less digits than its factorization.

2248785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2248785 is about 1499.5949453102. The cubic root of 2248785 is about 131.0134787910.

It can be divided in two parts, 224 and 8785, that added together give a palindrome (9009).

The spelling of 2248785 in words is "two million, two hundred forty-eight thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 59 63 77 99 105 121 165 177 231 295 315 363 385 413 495 531 605 649 693 847 885 1089 1155 1239 1815 1947 2065 2541 2655 3245 3465 3717 4235 4543 5445 5841 6195 7139 7623 9735 12705 13629 18585 21417 22715 29205 35695 38115 40887 49973 64251 68145 107085 149919 204435 249865 321255 449757 749595 2248785