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22116560 = 245299533
BaseRepresentation
bin101010001011…
…1100011010000
31112121122012212
41110113203100
521130212220
62110011252
7355662524
oct124274320
945548185
1022116560
1111536554
1274a6b28
13477492b
142d19d84
151e1d0c5
hex15178d0

22116560 has 40 divisors (see below), whose sum is σ = 53199720. Its totient is φ = 8540672.

The previous prime is 22116539. The next prime is 22116569. The reversal of 22116560 is 6561122.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 21603904 = 716^2 + 4648^2 .

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 (22116569) 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 7 ways as a sum of consecutive naturals, for example, 2447 + ... + 7086.

It is an arithmetic number, because the mean of its divisors is an integer number (1329993).

Almost surely, 222116560 is an apocalyptic number.

22116560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22116560 is an abundant number, since it is smaller than the sum of its proper divisors (31083160).

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

22116560 is a wasteful number, since it uses less digits than its factorization.

22116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 22116560 is about 4702.8246831027. The cubic root of 22116560 is about 280.6979188091.

Adding to 22116560 its reverse (6561122), we get a palindrome (28677682).

The spelling of 22116560 in words is "twenty-two million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9533 19066 38132 47665 76264 95330 152528 190660 276457 381320 552914 762640 1105828 1382285 2211656 2764570 4423312 5529140 11058280 22116560