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2289088 = 2647761
BaseRepresentation
bin1000101110110111000000
311022022001001
420232313000
51041222323
6121021344
725312504
oct10566700
94268031
102289088
11132390a
12924854
13621bb9
14438304
153033ad
hex22edc0

2289088 has 28 divisors (see below), whose sum is σ = 4645152. Its totient is φ = 1118720.

The previous prime is 2289083. The next prime is 2289127. The reversal of 2289088 is 8809822.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289083) 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, 2628 + ... + 3388.

22289088 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 2289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322576).

2289088 is an abundant number, since it is smaller than the sum of its proper divisors (2356064).

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

2289088 is an equidigital number, since it uses as much as digits as its factorization.

2289088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 2289088 is about 1512.9732317526. The cubic root of 2289088 is about 131.7915289031.

It can be divided in two parts, 228 and 9088, that added together give a triangular number (9316 = T136).

The spelling of 2289088 in words is "two million, two hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 761 1504 1522 3008 3044 6088 12176 24352 35767 48704 71534 143068 286136 572272 1144544 2289088