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22133140 = 22510110957
BaseRepresentation
bin101010001101…
…1100110010100
31112122110221221
41110123212110
521131230030
62110220124
7356062051
oct124334624
945573857
1022133140
1111547a57
1274b4644
13477c343
142d22028
151e22e7a
hex151b994

22133140 has 24 divisors (see below), whose sum is σ = 46944072. Its totient is φ = 8764800.

The previous prime is 22133129. The next prime is 22133173. The reversal of 22133140 is 4133122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8678916 + 13454224 = 2946^2 + 3668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3459 + ... + 7498.

It is an arithmetic number, because the mean of its divisors is an integer number (1956003).

Almost surely, 222133140 is an apocalyptic number.

22133140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133140 is an abundant number, since it is smaller than the sum of its proper divisors (24810932).

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

22133140 is a wasteful number, since it uses less digits than its factorization.

22133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 22133140 is about 4704.5871232235. The cubic root of 22133140 is about 280.7680443772.

Adding to 22133140 its reverse (4133122), we get a palindrome (26266262).

The spelling of 22133140 in words is "twenty-two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 10957 21914 43828 54785 109570 219140 1106657 2213314 4426628 5533285 11066570 22133140