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2242048 = 2929151
BaseRepresentation
bin1000100011011000000000
311012220111211
420203120000
51033221143
6120015504
725025404
oct10433000
94186454
102242048
1112a1536
12901594
13606673
14425104
152e449d
hex223600

2242048 has 40 divisors (see below), whose sum is σ = 4664880. Its totient is φ = 1075200.

The previous prime is 2242043. The next prime is 2242073. The reversal of 2242048 is 8402422.

It is a d-powerful number, because it can be written as 213 + 217 + 45 + 221 + 0 + 46 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242043) 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, 14773 + ... + 14923.

It is an arithmetic number, because the mean of its divisors is an integer number (116622).

22242048 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 2242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440).

2242048 is an abundant number, since it is smaller than the sum of its proper divisors (2422832).

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

2242048 is an equidigital number, since it uses as much as digits as its factorization.

2242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2242048 is about 1497.3469871743. The cubic root of 2242048 is about 130.8825161170.

The spelling of 2242048 in words is "two million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 151 232 256 302 464 512 604 928 1208 1856 2416 3712 4379 4832 7424 8758 9664 14848 17516 19328 35032 38656 70064 77312 140128 280256 560512 1121024 2242048