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22848080 = 245893209
BaseRepresentation
bin101011100101…
…0001001010000
31120222210200012
41113022021100
521322114310
62133414052
7365130323
oct127121120
946883605
1022848080
1111996112
12779a328
13496c898
14306a7ba
152014c05
hex15ca250

22848080 has 40 divisors (see below), whose sum is σ = 53735400. Its totient is φ = 9033728.

The previous prime is 22848079. The next prime is 22848083. The reversal of 22848080 is 8084822.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 22052416 = 892^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22848083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5516 + ... + 8724.

It is an arithmetic number, because the mean of its divisors is an integer number (1343385).

Almost surely, 222848080 is an apocalyptic number.

22848080 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 22848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867700).

22848080 is an abundant number, since it is smaller than the sum of its proper divisors (30887320).

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

22848080 is a wasteful number, since it uses less digits than its factorization.

22848080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 22848080 is about 4779.9665270795. The cubic root of 22848080 is about 283.7591689741.

The spelling of 22848080 in words is "twenty-two million, eight hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3209 3560 6418 7120 12836 16045 25672 32090 51344 64180 128360 256720 285601 571202 1142404 1428005 2284808 2856010 4569616 5712020 11424040 22848080