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22324164 = 22319179547
BaseRepresentation
bin101010100101…
…0001111000100
31120000011222220
41111022033010
521203333124
62114252340
7360516012
oct125121704
946004886
1022324164
1111668525
1275870b0
134818285
142d718b2
151e5e879
hex154a3c4

22324164 has 48 divisors (see below), whose sum is σ = 55238400. Its totient is φ = 6997536.

The previous prime is 22324157. The next prime is 22324177. The reversal of 22324164 is 46142322.

It is a super-3 number, since 3×223241643 (a number of 23 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40539 + ... + 41085.

It is an arithmetic number, because the mean of its divisors is an integer number (1150800).

Almost surely, 222324164 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 22324164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619200).

22324164 is an abundant number, since it is smaller than the sum of its proper divisors (32914236).

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

22324164 is a wasteful number, since it uses less digits than its factorization.

22324164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 22324164 is about 4724.8453942960. The cubic root of 22324164 is about 281.5734711848.

Adding to 22324164 its reverse (46142322), we get a palindrome (68466486).

The spelling of 22324164 in words is "twenty-two million, three hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 547 716 1074 1094 1641 2148 2188 3282 3401 6564 6802 10203 10393 13604 20406 20786 31179 40812 41572 62358 97913 124716 195826 293739 391652 587478 1174956 1860347 3720694 5581041 7441388 11162082 22324164