Search a number
-
+
22106560 = 265771139
BaseRepresentation
bin101010001010…
…1000111000000
31112121010111111
41110111013000
521124402220
62105453104
7355621420
oct124250700
945533444
1022106560
1111529a93
1274a1194
134770208
142d16480
151e1a15a
hex15151c0

22106560 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 7418880.

The previous prime is 22106543. The next prime is 22106563. The reversal of 22106560 is 6560122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22106563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158971 + ... + 159109.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 222106560 is an apocalyptic number.

22106560 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 22106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

22106560 is an abundant number, since it is smaller than the sum of its proper divisors (39341120).

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

22106560 is a wasteful number, since it uses less digits than its factorization.

22106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 22106560 is about 4701.7613720817. The cubic root of 22106560 is about 280.6556065876.

Adding to 22106560 its reverse (6560122), we get a palindrome (28666682).

The spelling of 22106560 in words is "twenty-two million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 139 140 142 160 224 278 280 284 320 355 448 497 556 560 568 695 710 973 994 1112 1120 1136 1390 1420 1946 1988 2224 2240 2272 2485 2780 2840 3892 3976 4448 4544 4865 4970 5560 5680 7784 7952 8896 9730 9869 9940 11120 11360 15568 15904 19460 19738 19880 22240 22720 31136 31808 38920 39476 39760 44480 49345 62272 69083 77840 78952 79520 98690 138166 155680 157904 159040 197380 276332 311360 315808 345415 394760 552664 631616 690830 789520 1105328 1381660 1579040 2210656 2763320 3158080 4421312 5526640 11053280 22106560