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22130560 = 275151229
BaseRepresentation
bin101010001101…
…0111110000000
31112122100102101
41110122332000
521131134220
62110200144
7356051404
oct124327600
945570371
1022130560
1111546021
1274b3054
13477b10a
142d21104
151e2230a
hex151af80

22130560 has 64 divisors (see below), whose sum is σ = 53488800. Its totient is φ = 8755200.

The previous prime is 22130543. The next prime is 22130579. The reversal of 22130560 is 6503122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 96526 + ... + 96754.

Almost surely, 222130560 is an apocalyptic number.

22130560 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 22130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26744400).

22130560 is an abundant number, since it is smaller than the sum of its proper divisors (31358240).

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

22130560 is a wasteful number, since it uses less digits than its factorization.

22130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 22130560 is about 4704.3129147624. The cubic root of 22130560 is about 280.7571344972.

Adding to 22130560 its reverse (6503122), we get a palindrome (28633682).

The spelling of 22130560 in words is "twenty-two million, one hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 229 302 320 458 604 640 755 916 1145 1208 1510 1832 2290 2416 3020 3664 4580 4832 6040 7328 9160 9664 12080 14656 18320 19328 24160 29312 34579 36640 48320 69158 73280 96640 138316 146560 172895 276632 345790 553264 691580 1106528 1383160 2213056 2766320 4426112 5532640 11065280 22130560