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22168080 = 2434511311
BaseRepresentation
bin101010010010…
…0001000010000
31112201020220000
41110210020100
521133334310
62111050000
7356265654
oct124441020
945636800
1022168080
1111571230
127510900
13479220c
142d30a64
151e2d4c0
hex1524210

22168080 has 200 divisors, whose sum is σ = 84262464. Its totient is φ = 5356800.

The previous prime is 22168073. The next prime is 22168099. The reversal of 22168080 is 8086122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71125 + ... + 71435.

Almost surely, 222168080 is an apocalyptic number.

22168080 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 22168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232).

22168080 is an abundant number, since it is smaller than the sum of its proper divisors (62094384).

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

22168080 is a wasteful number, since it uses less digits than its factorization.

22168080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

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

The square root of 22168080 is about 4708.2990559224. The cubic root of 22168080 is about 280.9157094902.

It can be divided in two parts, 2216 and 8080, that added together give a triangular number (10296 = T143).

The spelling of 22168080 in words is "twenty-two million, one hundred sixty-eight thousand, eighty".