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22680180 = 22325126001
BaseRepresentation
bin101011010000…
…1001001110100
31120200021100200
41112201021310
521301231210
62130040500
7363530655
oct126411164
946607320
1022680180
1111890a56
127719130
134911333
14302552c
151ed00c0
hex15a1274

22680180 has 36 divisors (see below), whose sum is σ = 68797092. Its totient is φ = 6048000.

The previous prime is 22680173. The next prime is 22680181. The reversal of 22680180 is 8108622.

It can be written as a sum of positive squares in 2 ways, for example, as 9108324 + 13571856 = 3018^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680181) 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 11 ways as a sum of consecutive naturals, for example, 62821 + ... + 63180.

Almost surely, 222680180 is an apocalyptic number.

22680180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22680180 is an abundant number, since it is smaller than the sum of its proper divisors (46116912).

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

22680180 is a wasteful number, since it uses less digits than its factorization.

22680180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126016 (or 126011 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 22680180 is about 4762.3712581024. The cubic root of 22680180 is about 283.0623876573.

The spelling of 22680180 in words is "twenty-two million, six hundred eighty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 126001 252002 378003 504004 630005 756006 1134009 1260010 1512012 1890015 2268018 2520020 3780030 4536036 5670045 7560060 11340090 22680180