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2226924 = 223278837
BaseRepresentation
bin1000011111101011101100
311012010202200
420133223230
51032230144
6115421500
724633330
oct10375354
94163680
102226924
111291137
128b4890
135cc80b
1441d7c0
152dec69
hex21faec

2226924 has 36 divisors (see below), whose sum is σ = 6434064. Its totient is φ = 636192.

The previous prime is 2226923. The next prime is 2226937. The reversal of 2226924 is 4296222.

2226924 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (2226923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4167 + ... + 4670.

It is an arithmetic number, because the mean of its divisors is an integer number (178724).

22226924 is an apocalyptic number.

It is an amenable number.

2226924 is an abundant number, since it is smaller than the sum of its proper divisors (4207140).

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

2226924 is a wasteful number, since it uses less digits than its factorization.

2226924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8849 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2226924 is about 1492.2881759231. The cubic root of 2226924 is about 130.5875573949.

The spelling of 2226924 in words is "two million, two hundred twenty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8837 17674 26511 35348 53022 61859 79533 106044 123718 159066 185577 247436 318132 371154 556731 742308 1113462 2226924