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22054140 = 2233540841
BaseRepresentation
bin101010000100…
…0010011111100
31112111110121000
41110020103330
521121213030
62104410300
7355312533
oct124102374
945443530
1022054140
11114a3669
127476990
1347523b4
142d0131a
151e09860
hex15084fc

22054140 has 48 divisors (see below), whose sum is σ = 68614560. Its totient is φ = 5880960.

The previous prime is 22054133. The next prime is 22054147. The reversal of 22054140 is 4145022.

It is an interprime number because it is at equal distance from previous prime (22054133) and next prime (22054147).

It is a super-2 number, since 2×220541402 = 972770182279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054147) 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 15 ways as a sum of consecutive naturals, for example, 19881 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (1429470).

Almost surely, 222054140 is an apocalyptic number.

22054140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22054140 is an abundant number, since it is smaller than the sum of its proper divisors (46560420).

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

22054140 is a wasteful number, since it uses less digits than its factorization.

22054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40859 (or 40851 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22054140 is about 4696.1835568896. The cubic root of 22054140 is about 280.4335969099.

Adding to 22054140 its reverse (4145022), we get a palindrome (26199162).

The spelling of 22054140 in words is "twenty-two million, fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40841 81682 122523 163364 204205 245046 367569 408410 490092 612615 735138 816820 1102707 1225230 1470276 1837845 2205414 2450460 3675690 4410828 5513535 7351380 11027070 22054140