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22728560 = 245192787
BaseRepresentation
bin101011010110…
…0111101110000
31120202201201112
41112230331300
521304303220
62131052452
7364122011
oct126547560
946681645
1022728560
1111914338
127741128
13492a36a
143039008
151ede5c5
hex15acf70

22728560 has 60 divisors (see below), whose sum is σ = 55842408. Its totient is φ = 8601984.

The previous prime is 22728529. The next prime is 22728569. The reversal of 22728560 is 6582722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22728569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28487 + ... + 29273.

Almost surely, 222728560 is an apocalyptic number.

22728560 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 22728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921204).

22728560 is an abundant number, since it is smaller than the sum of its proper divisors (33113848).

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

22728560 is a wasteful number, since it uses less digits than its factorization.

22728560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 22728560 is about 4767.4479546189. The cubic root of 22728560 is about 283.2635152846.

The spelling of 22728560 in words is "twenty-two million, seven hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 787 1444 1520 1574 1805 2888 3148 3610 3935 5776 6296 7220 7870 12592 14440 14953 15740 28880 29906 31480 59812 62960 74765 119624 149530 239248 284107 299060 568214 598120 1136428 1196240 1420535 2272856 2841070 4545712 5682140 11364280 22728560