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2206224 = 24335107
BaseRepresentation
bin1000011010101000010000
311011002101000
420122220100
51031044344
6115142000
724516066
oct10325020
94132330
102206224
111277629
128a4900
135c3277
14416036
152d8a69
hex21aa10

2206224 has 40 divisors (see below), whose sum is σ = 6333920. Its totient is φ = 735264.

The previous prime is 2206219. The next prime is 2206247. The reversal of 2206224 is 4226022.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 28 + 211 + 0 + 68 + 218 + 218 + 42 .

It is a junction number, because it is equal to n+sod(n) for n = 2206197 and 2206206.

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 7 ways as a sum of consecutive naturals, for example, 2122 + ... + 2985.

It is an arithmetic number, because the mean of its divisors is an integer number (158348).

22206224 is an apocalyptic number.

2206224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2206224 is an abundant number, since it is smaller than the sum of its proper divisors (4127696).

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

2206224 is a wasteful number, since it uses less digits than its factorization.

2206224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2206224 is about 1485.3363255505. The cubic root of 2206224 is about 130.1816789188.

The spelling of 2206224 in words is "two million, two hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5107 10214 15321 20428 30642 40856 45963 61284 81712 91926 122568 137889 183852 245136 275778 367704 551556 735408 1103112 2206224