Search a number
-
+
22006560 = 2535192127
BaseRepresentation
bin101001111110…
…0101100100000
31112102001022210
41103330230200
521113202220
62103402120
7355024032
oct123745440
945361283
1022006560
1111470944
127453340
134736844
142ccbc52
151dea6e0
hex14fcb20

22006560 has 144 divisors (see below), whose sum is σ = 73737216. Its totient is φ = 5515776.

The previous prime is 22006531. The next prime is 22006571. The reversal of 22006560 is 6560022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173217 + ... + 173343.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 222006560 is an apocalyptic number.

22006560 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 22006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868608).

22006560 is an abundant number, since it is smaller than the sum of its proper divisors (51730656).

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

22006560 is a wasteful number, since it uses less digits than its factorization.

22006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 22006560 is about 4691.1150060513. The cubic root of 22006560 is about 280.2317808706.

Adding to 22006560 its reverse (6560022), we get a palindrome (28566582).

The spelling of 22006560 in words is "twenty-two million, six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 127 152 160 190 228 240 254 285 304 361 380 381 456 480 508 570 608 635 722 760 762 912 1016 1083 1140 1270 1444 1520 1524 1805 1824 1905 2032 2166 2280 2413 2540 2888 3040 3048 3610 3810 4064 4332 4560 4826 5080 5415 5776 6096 7220 7239 7620 8664 9120 9652 10160 10830 11552 12065 12192 14440 14478 15240 17328 19304 20320 21660 24130 28880 28956 30480 34656 36195 38608 43320 45847 48260 57760 57912 60960 72390 77216 86640 91694 96520 115824 137541 144780 173280 183388 193040 229235 231648 275082 289560 366776 386080 458470 550164 579120 687705 733552 916940 1100328 1158240 1375410 1467104 1833880 2200656 2750820 3667760 4401312 5501640 7335520 11003280 22006560