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22540340 = 2254212677
BaseRepresentation
bin101010111111…
…1000000110100
31120102011112102
41111333000310
521232242330
62123041232
7362406164
oct125770064
946364472
1022540340
11117a5989
127670218
1348927a4
142dca5a4
151ea3945
hex157f034

22540340 has 24 divisors (see below), whose sum is σ = 47464872. Its totient is φ = 8991360.

The previous prime is 22540339. The next prime is 22540361. The reversal of 22540340 is 4304522.

It can be written as a sum of positive squares in 4 ways, for example, as 2808976 + 19731364 = 1676^2 + 4442^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 7082 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (1977703).

Almost surely, 222540340 is an apocalyptic number.

22540340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22540340 is an abundant number, since it is smaller than the sum of its proper divisors (24924532).

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

22540340 is a wasteful number, since it uses less digits than its factorization.

22540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 22540340 is about 4747.6667953849. Note that the first 3 decimals coincide. The cubic root of 22540340 is about 282.4794252382.

Adding to 22540340 its reverse (4304522), we get a palindrome (26844862).

The spelling of 22540340 in words is "twenty-two million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 2677 4210 5354 8420 10708 13385 26770 53540 1127017 2254034 4508068 5635085 11270170 22540340