Search a number
-
+
22000560 = 2435292109
BaseRepresentation
bin101001111101…
…1001110110000
31112101202002120
41103323032300
521113004220
62103314240
7355000401
oct123731660
945352076
1022000560
111146738a
12744b980
134733baa
142cc99a8
151de8a40
hex14fb3b0

22000560 has 120 divisors (see below), whose sum is σ = 71282640. Its totient is φ = 5612544.

The previous prime is 22000553. The next prime is 22000579. The reversal of 22000560 is 6500022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 201786 + ... + 201894.

It is an arithmetic number, because the mean of its divisors is an integer number (594022).

Almost surely, 222000560 is an apocalyptic number.

22000560 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 22000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35641320).

22000560 is an abundant number, since it is smaller than the sum of its proper divisors (49282080).

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

22000560 is a wasteful number, since it uses less digits than its factorization.

22000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22000560 is about 4690.4754556441. The cubic root of 22000560 is about 280.2063105333.

Adding to 22000560 its reverse (6500022), we get a palindrome (28500582).

The spelling of 22000560 in words is "twenty-two million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 109 116 120 145 174 218 232 240 290 327 348 435 436 464 545 580 654 696 841 870 872 1090 1160 1308 1392 1635 1682 1740 1744 2180 2320 2523 2616 3161 3270 3364 3480 4205 4360 5046 5232 6322 6540 6728 6960 8410 8720 9483 10092 12615 12644 13080 13456 15805 16820 18966 20184 25230 25288 26160 31610 33640 37932 40368 47415 50460 50576 63220 67280 75864 91669 94830 100920 126440 151728 183338 189660 201840 252880 275007 366676 379320 458345 550014 733352 758640 916690 1100028 1375035 1466704 1833380 2200056 2750070 3666760 4400112 5500140 7333520 11000280 22000560