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4468224 = 2932909
BaseRepresentation
bin10001000010111000000000
322102000020210
4101002320000
52120440344
6235434120
752656615
oct21027000
98360223
104468224
112582052
1215b5940
13c05a27
1484450c
155d3db9
hex442e00

4468224 has 40 divisors (see below), whose sum is σ = 11907720. Its totient is φ = 1488896.

The previous prime is 4468199. The next prime is 4468273. The reversal of 4468224 is 4228644.

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 = 4468191 and 4468200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (297693).

Almost surely, 24468224 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 4468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953860).

4468224 is an abundant number, since it is smaller than the sum of its proper divisors (7439496).

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

4468224 is an equidigital number, since it uses as much as digits as its factorization.

4468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2914 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4468224 is about 2113.8173998716. The cubic root of 4468224 is about 164.7068440120.

The spelling of 4468224 in words is "four million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2909 5818 8727 11636 17454 23272 34908 46544 69816 93088 139632 186176 279264 372352 558528 744704 1117056 1489408 2234112 4468224