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22126420 = 2252938149
BaseRepresentation
bin101010001100…
…1111101010100
31112122010202001
41110121331110
521131021140
62110125044
7356033341
oct124317524
945563661
1022126420
11115429a8
1274b0784
134779274
142d1d7c8
151e20e9a
hex1519f54

22126420 has 24 divisors (see below), whose sum is σ = 48069000. Its totient is φ = 8545152.

The previous prime is 22126397. The next prime is 22126427. The reversal of 22126420 is 2462122.

It can be written as a sum of positive squares in 4 ways, for example, as 6492304 + 15634116 = 2548^2 + 3954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22126427) 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, 18495 + ... + 19654.

It is an arithmetic number, because the mean of its divisors is an integer number (2002875).

Almost surely, 222126420 is an apocalyptic number.

22126420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22126420 is an abundant number, since it is smaller than the sum of its proper divisors (25942580).

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

22126420 is a wasteful number, since it uses less digits than its factorization.

22126420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38187 (or 38185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22126420 is about 4703.8728724318. The cubic root of 22126420 is about 280.7396261735.

Adding to 22126420 its reverse (2462122), we get a palindrome (24588542).

The spelling of 22126420 in words is "twenty-two million, one hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 38149 76298 152596 190745 381490 762980 1106321 2212642 4425284 5531605 11063210 22126420