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22540140 = 2233576789
BaseRepresentation
bin101010111111…
…0111101101100
31120102011021000
41111332331230
521232241030
62123040300
7362405460
oct125767554
946364230
1022540140
11117a5817
127670090
13489267c
142dca4a0
151ea3860
hex157ef6c

22540140 has 192 divisors, whose sum is σ = 82252800. Its totient is φ = 5018112.

The previous prime is 22540121. The next prime is 22540153. The reversal of 22540140 is 4104522.

22540140 is a `hidden beast` number, since 225 + 401 + 40 = 666.

It is a super-2 number, since 2×225401402 = 1016115822439200, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253216 + ... + 253304.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 222540140 is an apocalyptic number.

22540140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22540140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

22540140 is an abundant number, since it is smaller than the sum of its proper divisors (59712660).

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

22540140 is a wasteful number, since it uses less digits than its factorization.

22540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

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

The square root of 22540140 is about 4747.6457323604. The cubic root of 22540140 is about 282.4785897576.

Adding to 22540140 its reverse (4104522), we get a palindrome (26644662).

The spelling of 22540140 in words is "twenty-two million, five hundred forty thousand, one hundred forty".