Search a number
-
+
2221662324 = 2237198631613
BaseRepresentation
bin1000010001101011…
…1110000001110100
312201211110010202210
42010122332001310
514022221143244
61004241533420
7106024550430
oct20432760164
95654403683
102221662324
11a40085872
12520044270
132953775bb
141710b99c0
15d009a4b9
hex846be074

2221662324 has 96 divisors (see below), whose sum is σ = 6247342080. Its totient is φ = 600283008.

The previous prime is 2221662301. The next prime is 2221662329. The reversal of 2221662324 is 4232661222.

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 = 2221662291 and 2221662300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221662329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376542 + ... + 1378154.

It is an arithmetic number, because the mean of its divisors is an integer number (65076480).

Almost surely, 22221662324 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 2221662324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123671040).

2221662324 is an abundant number, since it is smaller than the sum of its proper divisors (4025679756).

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

2221662324 is a wasteful number, since it uses less digits than its factorization.

2221662324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2507 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2221662324 is about 47134.5130875455. The cubic root of 2221662324 is about 1304.8462748123.

The spelling of 2221662324 in words is "two billion, two hundred twenty-one million, six hundred sixty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 863 1596 1613 1726 2589 3226 3452 4839 5178 6041 6452 9678 10356 11291 12082 16397 18123 19356 22582 24164 30647 32794 33873 36246 45164 49191 61294 65588 67746 72492 91941 98382 114779 122588 135492 183882 196764 214529 229558 344337 367764 429058 459116 643587 688674 858116 1287174 1377348 1392019 2574348 2784038 4176057 5568076 8352114 9744133 16704228 19488266 26448361 29232399 38976532 52896722 58464798 79345083 105793444 116929596 158690166 185138527 317380332 370277054 555415581 740554108 1110831162 2221662324