Search a number
-
+
22322420 = 2252348527
BaseRepresentation
bin101010100100…
…1110011110100
31120000002121022
41111021303310
521203304140
62114240312
7360510641
oct125116364
946002538
1022322420
111166718a
127586098
134817543
142d70dc8
151e5e0b5
hex1549cf4

22322420 has 24 divisors (see below), whose sum is σ = 48916224. Its totient is φ = 8540576.

The previous prime is 22322371. The next prime is 22322429. The reversal of 22322420 is 2422322.

It is a super-3 number, since 3×223224203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23804 + ... + 24723.

It is an arithmetic number, because the mean of its divisors is an integer number (2038176).

Almost surely, 222322420 is an apocalyptic number.

22322420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322420 is an abundant number, since it is smaller than the sum of its proper divisors (26593804).

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

22322420 is a wasteful number, since it uses less digits than its factorization.

22322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48559 (or 48557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 22322420 is about 4724.6608343880. The cubic root of 22322420 is about 281.5661386680.

Adding to 22322420 its reverse (2422322), we get a palindrome (24744742).

The spelling of 22322420 in words is "twenty-two million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 48527 97054 194108 242635 485270 970540 1116121 2232242 4464484 5580605 11161210 22322420