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2246240 = 255101139
BaseRepresentation
bin1000100100011001100000
311020010021002
420210121200
51033334430
6120051132
725043543
oct10443140
94203232
102246240
1112a46a7
12903aa8
13608549
1442685a
152e5845
hex224660

2246240 has 48 divisors (see below), whose sum is σ = 5397840. Its totient is φ = 883200.

The previous prime is 2246239. The next prime is 2246269. The reversal of 2246240 is 426422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 213 + 217 + 45 + 65 + 221 + 45 + 0 .

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 7 ways as a sum of consecutive naturals, for example, 16091 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

22246240 is an apocalyptic number.

2246240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698920).

2246240 is an abundant number, since it is smaller than the sum of its proper divisors (3151600).

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

2246240 is a wasteful number, since it uses less digits than its factorization.

2246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2246240 is about 1498.7461426139. The cubic root of 2246240 is about 130.9640365121.

The spelling of 2246240 in words is "two million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 139 160 202 278 404 505 556 695 808 1010 1112 1390 1616 2020 2224 2780 3232 4040 4448 5560 8080 11120 14039 16160 22240 28078 56156 70195 112312 140390 224624 280780 449248 561560 1123120 2246240