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2220224 = 26113307
BaseRepresentation
bin1000011110000011000000
311011210120112
420132003000
51032021344
6115330452
724604646
oct10360300
94153515
102220224
1112870a6
128b0a28
135c9756
1441b196
152dcc9e
hex21e0c0

2220224 has 28 divisors (see below), whose sum is σ = 4459224. Its totient is φ = 1096704.

The previous prime is 2220209. The next prime is 2220263. The reversal of 2220224 is 4220222.

2220224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22202242 = 9858789220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220199 and 2220208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7079 + ... + 7385.

It is an arithmetic number, because the mean of its divisors is an integer number (159258).

22220224 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 2220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229612).

2220224 is an abundant number, since it is smaller than the sum of its proper divisors (2239000).

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

2220224 is a wasteful number, since it uses less digits than its factorization.

2220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2220224 is about 1490.0416101572. The cubic root of 2220224 is about 130.4564624318.

Adding to 2220224 its reverse (4220222), we get a palindrome (6440446).

The spelling of 2220224 in words is "two million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 226 307 452 614 904 1228 1808 2456 3616 4912 7232 9824 19648 34691 69382 138764 277528 555056 1110112 2220224