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22066660 = 22572112389
BaseRepresentation
bin101010000101…
…1010111100100
31112112002202201
41110023113210
521122113120
62104544244
7355364200
oct124132744
945462681
1022066660
1111502010
127482084
134757cc5
142d05b00
151e0d40a
hex150b5e4

22066660 has 144 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 6504960.

The previous prime is 22066643. The next prime is 22066661. The reversal of 22066660 is 6666022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22066661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247896 + ... + 247984.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 222066660 is an apocalyptic number.

22066660 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 22066660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

22066660 is an abundant number, since it is smaller than the sum of its proper divisors (39985820).

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

22066660 is a wasteful number, since it uses less digits than its factorization.

22066660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 22066660 is about 4697.5163650593. The cubic root of 22066660 is about 280.4866536821.

The spelling of 22066660 in words is "twenty-two million, sixty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 49 55 70 77 89 92 98 110 115 140 154 161 178 196 220 230 245 253 308 322 356 385 445 460 490 506 539 623 644 770 805 890 979 980 1012 1078 1127 1246 1265 1540 1610 1771 1780 1958 2047 2156 2254 2492 2530 2695 3115 3220 3542 3916 4094 4361 4508 4895 5060 5390 5635 6230 6853 7084 8188 8722 8855 9790 10235 10780 11270 12397 12460 13706 14329 17444 17710 19580 20470 21805 22517 22540 24794 27412 28658 34265 35420 40940 43610 45034 47971 49588 57316 61985 68530 71645 87220 90068 95942 100303 112585 123970 137060 143290 157619 191884 200606 225170 239855 247940 286580 315238 401212 450340 479710 501515 630476 788095 959420 1003030 1103333 1576190 2006060 2206666 3152380 4413332 5516665 11033330 22066660