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2220282 = 2322331173
BaseRepresentation
bin1000011110000011111010
311011210122200
420132003322
51032022112
6115331030
724605061
oct10360372
94153580
102220282
111287149
128b0a76
135c979c
1441b1d8
152dccdc
hex21e0fa

2220282 has 48 divisors (see below), whose sum is σ = 5211648. Its totient is φ = 681120.

The previous prime is 2220277. The next prime is 2220289. The reversal of 2220282 is 2820222.

2220282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220289) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12748 + ... + 12920.

It is an arithmetic number, because the mean of its divisors is an integer number (108576).

22220282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605824).

2220282 is an abundant number, since it is smaller than the sum of its proper divisors (2991366).

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

2220282 is a wasteful number, since it uses less digits than its factorization.

2220282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2220282 is about 1490.0610725739. The cubic root of 2220282 is about 130.4575984146.

The spelling of 2220282 in words is "two million, two hundred twenty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 173 186 207 279 346 414 519 558 713 1038 1426 1557 2139 3114 3979 4278 5363 6417 7958 10726 11937 12834 16089 23874 32178 35811 48267 71622 96534 123349 246698 370047 740094 1110141 2220282