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22680000 = 2634547
BaseRepresentation
bin101011010000…
…1000111000000
31120200021010000
41112201013000
521301230000
62130040000
7363530310
oct126410700
946607100
1022680000
1111890902
127719000
134911225
143025440
151ed0000
hex15a11c0

22680000 has 350 divisors, whose sum is σ = 96013016. Its totient is φ = 5184000.

The previous prime is 22679971. The next prime is 22680017. The reversal of 22680000 is 8622.

It is a tau number, because it is divible by the number of its divisors (350).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239997 + ... + 3240003.

Almost surely, 222680000 is an apocalyptic number.

22680000 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 22680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006508).

22680000 is an abundant number, since it is smaller than the sum of its proper divisors (73333016).

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

22680000 is an frugal number, since it uses more digits than its factorization.

22680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22680000 is about 4762.3523599163. The cubic root of 22680000 is about 283.0616388190.

Adding to 22680000 its reverse (8622), we get a palindrome (22688622).

The spelling of 22680000 in words is "twenty-two million, six hundred eighty thousand".