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2842224 = 243711769
BaseRepresentation
bin1010110101111001110000
312100101210120
422311321300
51211422344
6140530240
733105240
oct12657160
95311716
102842224
111671450
12b50980
137868b8
1453db20
153b2219
hex2b5e70

2842224 has 80 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 737280.

The previous prime is 2842223. The next prime is 2842237. The reversal of 2842224 is 4222482.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 2842194 and 2842203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3312 + ... + 4080.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

22842224 is an apocalyptic number.

2842224 is a gapful number since it is divisible by the number (24) 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 2842224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

2842224 is an abundant number, since it is smaller than the sum of its proper divisors (6323856).

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

2842224 is a wasteful number, since it uses less digits than its factorization.

2842224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2842224 is about 1685.8896761058. The cubic root of 2842224 is about 141.6509312780.

The spelling of 2842224 in words is "two million, eight hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 769 924 1232 1538 1848 2307 3076 3696 4614 5383 6152 8459 9228 10766 12304 16149 16918 18456 21532 25377 32298 33836 36912 43064 50754 59213 64596 67672 86128 101508 118426 129192 135344 177639 203016 236852 258384 355278 406032 473704 710556 947408 1421112 2842224