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2220984 = 2332109283
BaseRepresentation
bin1000011110001110111000
311011211121200
420132032320
51032032414
6115334200
724610113
oct10361670
94154550
102220984
111287727
128b1360
135c9bbc
1441b57a
152dd109
hex21e3b8

2220984 has 48 divisors (see below), whose sum is σ = 6091800. Its totient is φ = 730944.

The previous prime is 2220979. The next prime is 2221007. The reversal of 2220984 is 4890222.

2220984 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7707 + ... + 7989.

22220984 is an apocalyptic number.

2220984 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 2220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045900).

2220984 is an abundant number, since it is smaller than the sum of its proper divisors (3870816).

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

2220984 is a wasteful number, since it uses less digits than its factorization.

2220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2220984 is about 1490.2966147717. The cubic root of 2220984 is about 130.4713461553.

The spelling of 2220984 in words is "two million, two hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 283 327 436 566 654 849 872 981 1132 1308 1698 1962 2264 2547 2616 3396 3924 5094 6792 7848 10188 20376 30847 61694 92541 123388 185082 246776 277623 370164 555246 740328 1110492 2220984