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2226064 = 243732
BaseRepresentation
bin1000011111011110010000
311012002120211
420133132100
51032213224
6115413504
724630661
oct10373620
94162524
102226064
111290525
128b4294
135cc2c9
1441d368
152de894
hex21f790

2226064 has 15 divisors (see below), whose sum is σ = 4324593. Its totient is φ = 1110048.

The previous prime is 2226041. The next prime is 2226089. The reversal of 2226064 is 4606222.

It is a happy number.

The square root of 2226064 is 1492.

It is a perfect power (a square), and thus also a powerful number.

2226064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1210000 + 1016064 = 1100^2 + 1008^2 .

It is a d-powerful number, because it can be written as 28 + 212 + 218 + 67 + 0 + 68 + 42 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5782 + ... + 6154.

22226064 is an apocalyptic number.

2226064 is the 1492-nd square number.

It is an amenable number.

2226064 is a deficient number, since it is larger than the sum of its proper divisors (2098529).

2226064 is an frugal number, since it uses more digits than its factorization.

2226064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 2226064 is about 130.5707450027.

The spelling of 2226064 in words is "two million, two hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 373 746 1492 2984 5968 139129 278258 556516 1113032 2226064