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22750560 = 2532573761
BaseRepresentation
bin101011011001…
…0010101100000
31120210211220100
41112302111200
521311004220
62131342400
7364243110
oct126622540
946724810
1022750560
1111929918
127751a00
134937391
143043040
151ee5d90
hex15b2560

22750560 has 288 divisors, whose sum is σ = 92619072. Its totient is φ = 4976640.

The previous prime is 22750513. The next prime is 22750561. The reversal of 22750560 is 6505722.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22750561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372930 + ... + 372990.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 222750560 is an apocalyptic number.

22750560 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 22750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

22750560 is an abundant number, since it is smaller than the sum of its proper divisors (69868512).

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

22750560 is a wasteful number, since it uses less digits than its factorization.

22750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 22750560 is about 4769.7547106743. The cubic root of 22750560 is about 283.3548803298.

The spelling of 22750560 in words is "twenty-two million, seven hundred fifty thousand, five hundred sixty".