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2259328 = 2719929
BaseRepresentation
bin1000100111100110000000
311020210012211
420213212000
51034244303
6120231504
725126651
oct10474600
94223184
102259328
111303515
1290b594
136114a6
1442b528
152e966d
hex227980

2259328 has 32 divisors (see below), whose sum is σ = 4743000. Its totient is φ = 1069056.

The previous prime is 2259293. The next prime is 2259329. The reversal of 2259328 is 8239522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2259328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1968 + ... + 2896.

22259328 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 2259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371500).

2259328 is an abundant number, since it is smaller than the sum of its proper divisors (2483672).

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

2259328 is an equidigital number, since it uses as much as digits as its factorization.

2259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 2259328 is about 1503.1061173450. The cubic root of 2259328 is about 131.2179035651.

The spelling of 2259328 in words is "two million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 929 1216 1858 2432 3716 7432 14864 17651 29728 35302 59456 70604 118912 141208 282416 564832 1129664 2259328