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820224 = 2103289
BaseRepresentation
bin11001000010000000000
31112200010200
43020100000
5202221344
625325200
76654216
oct3102000
91480120
10820224
11510279
12336800
13229452
14174cb6
15113069
hexc8400

820224 has 66 divisors (see below), whose sum is σ = 2394990. Its totient is φ = 270336.

The previous prime is 820223. The next prime is 820231. The reversal of 820224 is 422028.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 230400 = 768^2 + 480^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 83 + 29 + 215 + 0 + 219 + 49 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 820197 and 820206.

It is not an unprimeable number, because it can be changed into a prime (820223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9172 + ... + 9260.

2820224 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 820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197495).

820224 is an abundant number, since it is smaller than the sum of its proper divisors (1574766).

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

820224 is a wasteful number, since it uses less digits than its factorization.

820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 820224 is about 905.6621886774. The cubic root of 820224 is about 93.6075382927.

The spelling of 820224 in words is "eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 712 768 801 1024 1068 1152 1424 1536 1602 2136 2304 2848 3072 3204 4272 4608 5696 6408 8544 9216 11392 12816 17088 22784 25632 34176 45568 51264 68352 91136 102528 136704 205056 273408 410112 820224