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22680096 = 253317621
BaseRepresentation
bin101011010000…
…1001000100000
31120200021020120
41112201020200
521301230341
62130040240
7363530505
oct126411040
946607216
1022680096
111189098a
127719080
13491129a
1430254ac
151ed0066
hex15a1220

22680096 has 48 divisors (see below), whose sum is σ = 61463808. Its totient is φ = 7315200.

The previous prime is 22680089. The next prime is 22680101. The reversal of 22680096 is 69008622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (1280496).

Almost surely, 222680096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30731904).

22680096 is an abundant number, since it is smaller than the sum of its proper divisors (38783712).

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

22680096 is a wasteful number, since it uses less digits than its factorization.

22680096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 22680096 is about 4762.3624389582. The cubic root of 22680096 is about 283.0620381999.

The spelling of 22680096 in words is "twenty-two million, six hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 7621 15242 22863 30484 45726 60968 91452 121936 182904 236251 243872 365808 472502 708753 731616 945004 1417506 1890008 2835012 3780016 5670024 7560032 11340048 22680096