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18982224 = 2432612161
BaseRepresentation
bin100100001101…
…0010101010000
31022201101201100
41020122111100
514324412344
61514504400
7320226522
oct110322520
938641640
1018982224
11a795698
126435100
133c180b1
142741a12
1519ee569
hex121a550

18982224 has 60 divisors (see below), whose sum is σ = 54019732. Its totient is φ = 6220800.

The previous prime is 18982207. The next prime is 18982231. The reversal of 18982224 is 42228981.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 13838400 = 2268^2 + 3720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7704 + ... + 9864.

Almost surely, 218982224 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 18982224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27009866).

18982224 is an abundant number, since it is smaller than the sum of its proper divisors (35037508).

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

18982224 is a wasteful number, since it uses less digits than its factorization.

18982224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2227 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18982224 is about 4356.8594193524. The cubic root of 18982224 is about 266.7569222266.

The spelling of 18982224 in words is "eighteen million, nine hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2161 2196 2928 4322 4392 6483 8644 8784 12966 17288 19449 25932 34576 38898 51864 77796 103728 131821 155592 263642 311184 395463 527284 790926 1054568 1186389 1581852 2109136 2372778 3163704 4745556 6327408 9491112 18982224