Search a number
-
+
22080672 = 2532431783
BaseRepresentation
bin101010000111…
…0110010100000
31112112210222200
41110032302200
521123040142
62105133200
7355453065
oct124166240
945483880
1022080672
1111511599
12748a200
1347614b3
142d0ac6c
151e1264c
hex150eca0

22080672 has 72 divisors (see below), whose sum is σ = 64288224. Its totient is φ = 7185024.

The previous prime is 22080631. The next prime is 22080677. The reversal of 22080672 is 27608022.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22080677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11493 + ... + 13275.

It is an arithmetic number, because the mean of its divisors is an integer number (892892).

Almost surely, 222080672 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 22080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32144112).

22080672 is an abundant number, since it is smaller than the sum of its proper divisors (42207552).

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

22080672 is a wasteful number, since it uses less digits than its factorization.

22080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22080672 is about 4699.0075547928. The cubic root of 22080672 is about 280.5460094012.

Adding to 22080672 its reverse (27608022), we get a palindrome (49688694).

The spelling of 22080672 in words is "twenty-two million, eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 1783 2064 3096 3566 4128 5349 6192 7132 10698 12384 14264 16047 21396 28528 32094 42792 57056 64188 76669 85584 128376 153338 171168 230007 256752 306676 460014 513504 613352 690021 920028 1226704 1380042 1840056 2453408 2760084 3680112 5520168 7360224 11040336 22080672