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2244224 = 2789197
BaseRepresentation
bin1000100011111010000000
311020000111102
420203322000
51033303344
6120033532
725034633
oct10437200
94200442
102244224
1112a3134
129028a8
13607658
14425c1a
152e4e4e
hex223e80

2244224 has 32 divisors (see below), whose sum is σ = 4544100. Its totient is φ = 1103872.

The previous prime is 2244211. The next prime is 2244227. The reversal of 2244224 is 4224422.

It can be written as a sum of positive squares in 2 ways, for example, as 2190400 + 53824 = 1480^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2244196 and 2244205.

It is not an unprimeable number, because it can be changed into a prime (2244227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11294 + ... + 11490.

22244224 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 2244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272050).

2244224 is an abundant number, since it is smaller than the sum of its proper divisors (2299876).

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

2244224 is an equidigital number, since it uses as much as digits as its factorization.

2244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 2244224 is about 1498.0734294420. The cubic root of 2244224 is about 130.9248447184.

Adding to 2244224 its reverse (4224422), we get a palindrome (6468646).

The spelling of 2244224 in words is "two million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 197 356 394 712 788 1424 1576 2848 3152 5696 6304 11392 12608 17533 25216 35066 70132 140264 280528 561056 1122112 2244224