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2246464 = 26113191
BaseRepresentation
bin1000100100011101000000
311020010120101
420210131000
51033341324
6120052144
725044313
oct10443500
94203511
102246464
1112a4890
12904054
1360868c
1442697a
152e5944
hex224740

2246464 has 28 divisors (see below), whose sum is σ = 4864608. Its totient is φ = 1020800.

The previous prime is 2246417. The next prime is 2246467. The reversal of 2246464 is 4646422.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 27 + 213 + 43 + 67 + 47 + 68 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246467) by changing a digit.

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, 892 + ... + 2299.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

22246464 is an apocalyptic number.

It is an amenable number.

2246464 is an abundant number, since it is smaller than the sum of its proper divisors (2618144).

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

2246464 is a wasteful number, since it uses less digits than its factorization.

2246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3204 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2246464 is about 1498.8208698841. The cubic root of 2246464 is about 130.9683897081.

The spelling of 2246464 in words is "two million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3191 6382 12764 25528 35101 51056 70202 102112 140404 204224 280808 561616 1123232 2246464