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2270208 = 2103739
BaseRepresentation
bin1000101010010000000000
311021100010210
420222100000
51040121313
6120354120
725203453
oct10522000
94240123
102270208
111310706
12915940
13616425
1443149a
152ec9c3
hex22a400

2270208 has 44 divisors (see below), whose sum is σ = 6059120. Its totient is φ = 755712.

The previous prime is 2270201. The next prime is 2270239. The reversal of 2270208 is 8020722.

It is not an unprimeable number, because it can be changed into a prime (2270201) 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 3 ways as a sum of consecutive naturals, for example, 2703 + ... + 3441.

22270208 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 2270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029560).

2270208 is an abundant number, since it is smaller than the sum of its proper divisors (3788912).

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

2270208 is an equidigital number, since it uses as much as digits as its factorization.

2270208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2270208 is about 1506.7209429752. The cubic root of 2270208 is about 131.4281969564.

The spelling of 2270208 in words is "two million, two hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 739 768 1024 1478 1536 2217 2956 3072 4434 5912 8868 11824 17736 23648 35472 47296 70944 94592 141888 189184 283776 378368 567552 756736 1135104 2270208