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2221056 = 21032241
BaseRepresentation
bin1000011110010000000000
311011211201100
420132100000
51032033211
6115334400
724610245
oct10362000
94154640
102221056
111287792
128b1400
135c9c46
1441b5cc
152dd156
hex21e400

2221056 has 66 divisors (see below), whose sum is σ = 6439862. Its totient is φ = 737280.

The previous prime is 2221031. The next prime is 2221061. The reversal of 2221056 is 6501222.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 147456 = 1440^2 + 384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9096 + ... + 9336.

22221056 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 2221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219931).

2221056 is an abundant number, since it is smaller than the sum of its proper divisors (4218806).

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

2221056 is a wasteful number, since it uses less digits than its factorization.

2221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2221056 is about 1490.3207708410. The cubic root of 2221056 is about 130.4727560162.

Adding to 2221056 its reverse (6501222), we get a palindrome (8722278).

It can be divided in two parts, 222105 and 6, that added together give a triangular number (222111 = T666).

The spelling of 2221056 in words is "two million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 512 576 723 768 964 1024 1152 1446 1536 1928 2169 2304 2892 3072 3856 4338 4608 5784 7712 8676 9216 11568 15424 17352 23136 30848 34704 46272 61696 69408 92544 123392 138816 185088 246784 277632 370176 555264 740352 1110528 2221056