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2228784 = 24359787
BaseRepresentation
bin1000100000001000110000
311012020022120
420200020300
51032310114
6115434240
724641625
oct10401060
94166276
102228784
111292578
128b5980
1360060c
1442034c
152e05a9
hex220230

2228784 has 40 divisors (see below), whose sum is σ = 5862720. Its totient is φ = 729408.

The previous prime is 2228783. The next prime is 2228797. The reversal of 2228784 is 4878222.

It is not an unprimeable number, because it can be changed into a prime (2228783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2439 + ... + 3225.

It is an arithmetic number, because the mean of its divisors is an integer number (146568).

22228784 is an apocalyptic number.

2228784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931360).

2228784 is an abundant number, since it is smaller than the sum of its proper divisors (3633936).

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

2228784 is a wasteful number, since it uses less digits than its factorization.

2228784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2228784 is about 1492.9112498739. The cubic root of 2228784 is about 130.6239042818.

The spelling of 2228784 in words is "two million, two hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 787 944 1416 1574 2361 2832 3148 4722 6296 9444 12592 18888 37776 46433 92866 139299 185732 278598 371464 557196 742928 1114392 2228784