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22212324 = 223241101149
BaseRepresentation
bin101010010111…
…0111011100100
31112210111120200
41110232323210
521141243244
62112030500
7356541651
oct124567344
945714520
1022212324
11115a14a2
127532430
1347a93b4
142d42c28
151e3b669
hex152eee4

22212324 has 72 divisors (see below), whose sum is σ = 58476600. Its totient is φ = 7104000.

The previous prime is 22212301. The next prime is 22212329. The reversal of 22212324 is 42321222.

It can be written as a sum of positive squares in 4 ways, for example, as 756900 + 21455424 = 870^2 + 4632^2 .

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

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 = 22212297 and 22212306.

It is not an unprimeable number, because it can be changed into a prime (22212329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149002 + ... + 149150.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 222212324 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 22212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238300).

22212324 is an abundant number, since it is smaller than the sum of its proper divisors (36264276).

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

22212324 is a wasteful number, since it uses less digits than its factorization.

22212324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 296 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22212324 is about 4712.9952259683. The cubic root of 22212324 is about 281.1024731483.

Adding to 22212324 its reverse (42321222), we get a palindrome (64533546).

The spelling of 22212324 in words is "twenty-two million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 149 164 202 246 298 303 369 404 447 492 596 606 738 894 909 1212 1341 1476 1788 1818 2682 3636 4141 5364 6109 8282 12218 12423 15049 16564 18327 24436 24846 30098 36654 37269 45147 49692 54981 60196 73308 74538 90294 109962 135441 149076 180588 219924 270882 541764 617009 1234018 1851027 2468036 3702054 5553081 7404108 11106162 22212324