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2221248 = 26323503
BaseRepresentation
bin1000011110010011000000
311011211222110
420132103000
51032034443
6115335320
724610641
oct10362300
94154873
102221248
111287947
128b1540
135ca063
1441b6c8
152dd233
hex21e4c0

2221248 has 56 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 706816.

The previous prime is 2221231. The next prime is 2221249. The reversal of 2221248 is 8421222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2221249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4165 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

22221248 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 2221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2221248 is an abundant number, since it is smaller than the sum of its proper divisors (3923520).

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

2221248 is a wasteful number, since it uses less digits than its factorization.

2221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2221248 is about 1490.3851851116. The cubic root of 2221248 is about 130.4765154963.

The spelling of 2221248 in words is "two million, two hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 503 552 736 1006 1104 1472 1509 2012 2208 3018 4024 4416 6036 8048 11569 12072 16096 23138 24144 32192 34707 46276 48288 69414 92552 96576 138828 185104 277656 370208 555312 740416 1110624 2221248