Search a number
-
+
22082560 = 210519227
BaseRepresentation
bin101010000111…
…1010000000000
31112112220120121
41110033100000
521123120220
62105150024
7355461433
oct124172000
945486517
1022082560
1111512a55
12748b314
134762306
142d0b81a
151e12eaa
hex150f400

22082560 has 88 divisors (see below), whose sum is σ = 56005920. Its totient is φ = 8331264.

The previous prime is 22082551. The next prime is 22082563. The reversal of 22082560 is 6528022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082563) 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, 97167 + ... + 97393.

Almost surely, 222082560 is an apocalyptic number.

22082560 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 22082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28002960).

22082560 is an abundant number, since it is smaller than the sum of its proper divisors (33923360).

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

22082560 is a wasteful number, since it uses less digits than its factorization.

22082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 22082560 is about 4699.2084439829. The cubic root of 22082560 is about 280.5540051688.

The spelling of 22082560 in words is "twenty-two million, eighty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 227 256 304 320 380 454 512 608 640 760 908 1024 1135 1216 1280 1520 1816 2270 2432 2560 3040 3632 4313 4540 4864 5120 6080 7264 8626 9080 9728 12160 14528 17252 18160 19456 21565 24320 29056 34504 36320 43130 48640 58112 69008 72640 86260 97280 116224 138016 145280 172520 232448 276032 290560 345040 552064 581120 690080 1104128 1162240 1380160 2208256 2760320 4416512 5520640 11041280 22082560