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2258288 = 242931157
BaseRepresentation
bin1000100111010101110000
311020201210022
420213111300
51034231123
6120223012
725123634
oct10472560
94221708
102258288
11130275a
1290aa68
13610b86
1442adc4
152e91c8
hex227570

2258288 has 40 divisors (see below), whose sum is σ = 4702080. Its totient is φ = 1048320.

The previous prime is 2258287. The next prime is 2258299. The reversal of 2258288 is 8828522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258287) 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, 14306 + ... + 14462.

It is an arithmetic number, because the mean of its divisors is an integer number (117552).

22258288 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 2258288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351040).

2258288 is an abundant number, since it is smaller than the sum of its proper divisors (2443792).

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

2258288 is a wasteful number, since it uses less digits than its factorization.

2258288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 2258288 is about 1502.7601272326. The cubic root of 2258288 is about 131.1977666683.

The spelling of 2258288 in words is "two million, two hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 157 232 248 314 464 496 628 899 1256 1798 2512 3596 4553 4867 7192 9106 9734 14384 18212 19468 36424 38936 72848 77872 141143 282286 564572 1129144 2258288