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2246944 = 25721433
BaseRepresentation
bin1000100100100100100000
311020011020011
420210210200
51033400234
6120054304
725045600
oct10444440
94204204
102246944
1112a5187
12904394
1360896b
14426c00
152e5b64
hex224920

2246944 has 36 divisors (see below), whose sum is σ = 5149494. Its totient is φ = 962304.

The previous prime is 2246927. The next prime is 2246953. The reversal of 2246944 is 4496422.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 659344 = 1260^2 + 812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 852 + ... + 2284.

22246944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574747).

2246944 is an abundant number, since it is smaller than the sum of its proper divisors (2902550).

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

2246944 is a wasteful number, since it uses less digits than its factorization.

2246944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1442 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 2246944 is about 1498.9809872043. The cubic root of 2246944 is about 130.9777170109.

The spelling of 2246944 in words is "two million, two hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1433 1568 2866 5732 10031 11464 20062 22928 40124 45856 70217 80248 140434 160496 280868 320992 561736 1123472 2246944