Search a number
-
+
2259768 = 233713451
BaseRepresentation
bin1000100111101100111000
311020210211010
420213230320
51034303033
6120233520
725131150
oct10475470
94223733
102259768
111303885
1290b8a0
13611754
1442b760
152e9863
hex227b38

2259768 has 32 divisors (see below), whose sum is σ = 6456960. Its totient is φ = 645600.

The previous prime is 2259739. The next prime is 2259769. The reversal of 2259768 is 8679522.

It is a happy number.

2259768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6558 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (201780).

22259768 is an apocalyptic number.

2259768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2259768 is an abundant number, since it is smaller than the sum of its proper divisors (4197192).

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

2259768 is a wasteful number, since it uses less digits than its factorization.

2259768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13463 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2259768 is about 1503.2524738047. The cubic root of 2259768 is about 131.2264211612.

The spelling of 2259768 in words is "two million, two hundred fifty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13451 26902 40353 53804 80706 94157 107608 161412 188314 282471 322824 376628 564942 753256 1129884 2259768