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22126224 = 2434111243
BaseRepresentation
bin101010001100…
…1111010010000
31112122010110210
41110121322100
521131014344
62110124120
7356032641
oct124317220
945563423
1022126224
111154283a
1274b0640
134779153
142d1d6c8
151e20db9
hex1519e90

22126224 has 40 divisors (see below), whose sum is σ = 58558752. Its totient is φ = 7194880.

The previous prime is 22126211. The next prime is 22126229. The reversal of 22126224 is 42262122.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22126224.

It is not an unprimeable number, because it can be changed into a prime (22126229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3654 + ... + 7589.

Almost surely, 222126224 is an apocalyptic number.

22126224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22126224 is an abundant number, since it is smaller than the sum of its proper divisors (36432528).

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

22126224 is a wasteful number, since it uses less digits than its factorization.

22126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295 (or 11289 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 22126224 is about 4703.8520384893. The cubic root of 22126224 is about 280.7387972229.

Adding to 22126224 its reverse (42262122), we get a palindrome (64388346).

The spelling of 22126224 in words is "twenty-two million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 11243 22486 33729 44972 67458 89944 134916 179888 269832 460963 539664 921926 1382889 1843852 2765778 3687704 5531556 7375408 11063112 22126224