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2231768 = 237113623
BaseRepresentation
bin1000100000110111011000
311012101102002
420200313120
51032404033
6115500132
724653420
oct10406730
94171362
102231768
111294840
128b7648
13601a96
14421480
152e13e8
hex220dd8

2231768 has 32 divisors (see below), whose sum is σ = 5218560. Its totient is φ = 869280.

The previous prime is 2231767. The next prime is 2231773. The reversal of 2231768 is 8671322.

It is a happy number.

It is a super-3 number, since 3×22317683 = 33347892536667050496, which contains 333 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2231768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (163080).

22231768 is an apocalyptic number.

2231768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2231768 is an abundant number, since it is smaller than the sum of its proper divisors (2986792).

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

2231768 is a wasteful number, since it uses less digits than its factorization.

2231768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3643 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2231768 is about 1493.9103052058. The cubic root of 2231768 is about 130.6821734107.

It can be divided in two parts, 223 and 1768, that added together give a palindrome (1991).

The spelling of 2231768 in words is "two million, two hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3623 7246 14492 25361 28984 39853 50722 79706 101444 159412 202888 278971 318824 557942 1115884 2231768