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2259888 = 24323289
BaseRepresentation
bin1000100111101110110000
311020210222120
420213232300
51034304023
6120234240
725131411
oct10475660
94223876
102259888
111303984
1290b980
13611817
1442b808
152e98e3
hex227bb0

2259888 has 60 divisors (see below), whose sum is σ = 6171480. Its totient is φ = 712448.

The previous prime is 2259871. The next prime is 2259889. The reversal of 2259888 is 8889522.

2259888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2259889) 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 11 ways as a sum of consecutive naturals, for example, 25348 + ... + 25436.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

22259888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085740).

2259888 is an abundant number, since it is smaller than the sum of its proper divisors (3911592).

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

2259888 is a wasteful number, since it uses less digits than its factorization.

2259888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 2259888 is about 1503.2923867299. The cubic root of 2259888 is about 131.2287439500.

The spelling of 2259888 in words is "two million, two hundred fifty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 529 534 552 712 1058 1068 1104 1424 1587 2047 2116 2136 3174 4094 4232 4272 6141 6348 8188 8464 12282 12696 16376 24564 25392 32752 47081 49128 94162 98256 141243 188324 282486 376648 564972 753296 1129944 2259888