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2243088 = 243237421
BaseRepresentation
bin1000100011101000010000
311012221221100
420203220100
51033234323
6120024400
725031421
oct10435020
94187840
102243088
1112a22a1
12902100
13606c93
14425648
152e4943
hex223a10

2243088 has 60 divisors (see below), whose sum is σ = 6462508. Its totient is φ = 725760.

The previous prime is 2243081. The next prime is 2243089. The reversal of 2243088 is 8803422.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 1411344 = 912^2 + 1188^2 .

It is not an unprimeable number, because it can be changed into a prime (2243081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5118 + ... + 5538.

22243088 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 2243088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231254).

2243088 is an abundant number, since it is smaller than the sum of its proper divisors (4219420).

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

2243088 is a wasteful number, since it uses less digits than its factorization.

2243088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2243088 is about 1497.6942278049. The cubic root of 2243088 is about 130.9027501138.

The spelling of 2243088 in words is "two million, two hundred forty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 421 444 592 666 842 888 1263 1332 1684 1776 2526 2664 3368 3789 5052 5328 6736 7578 10104 15156 15577 20208 30312 31154 46731 60624 62308 93462 124616 140193 186924 249232 280386 373848 560772 747696 1121544 2243088