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2246912 = 2867131
BaseRepresentation
bin1000100100100100000000
311020011011222
420210210000
51033400122
6120054212
725045523
oct10444400
94204158
102246912
1112a5158
12904368
13608945
14426bba
152e5b42
hex224900

2246912 has 36 divisors (see below), whose sum is σ = 4586736. Its totient is φ = 1098240.

The previous prime is 2246903. The next prime is 2246927. The reversal of 2246912 is 2196422.

It is a super-2 number, since 2×22469122 = 10097227071488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17087 + ... + 17217.

22246912 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 2246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293368).

2246912 is an abundant number, since it is smaller than the sum of its proper divisors (2339824).

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

2246912 is an equidigital number, since it uses as much as digits as its factorization.

2246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 2246912 is about 1498.9703132484. The cubic root of 2246912 is about 130.9770952321.

The spelling of 2246912 in words is "two million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 67 128 131 134 256 262 268 524 536 1048 1072 2096 2144 4192 4288 8384 8576 8777 16768 17152 17554 33536 35108 70216 140432 280864 561728 1123456 2246912