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22066720 = 255131032
BaseRepresentation
bin101010000101…
…1011000100000
31112112002211221
41110023120200
521122113340
62104544424
7355364314
oct124133040
945462757
1022066720
1111502065
127482114
134758040
142d05b44
151e0d44a
hex150b620

22066720 has 72 divisors (see below), whose sum is σ = 56693196. Its totient is φ = 8068608.

The previous prime is 22066691. The next prime is 22066721. The reversal of 22066720 is 2766022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20539024 + 1527696 = 4532^2 + 1236^2 .

It is not an unprimeable number, because it can be changed into a prime (22066721) 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, 214189 + ... + 214291.

Almost surely, 222066720 is an apocalyptic number.

22066720 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 22066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28346598).

22066720 is an abundant number, since it is smaller than the sum of its proper divisors (34626476).

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

22066720 is a wasteful number, since it uses less digits than its factorization.

22066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 22066720 is about 4697.5227514084. The cubic root of 22066720 is about 280.4869078994.

The spelling of 22066720 in words is "twenty-two million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 103 104 130 160 206 208 260 412 416 515 520 824 1030 1040 1339 1648 2060 2080 2678 3296 4120 5356 6695 8240 10609 10712 13390 16480 21218 21424 26780 42436 42848 53045 53560 84872 106090 107120 137917 169744 212180 214240 275834 339488 424360 551668 689585 848720 1103336 1379170 1697440 2206672 2758340 4413344 5516680 11033360 22066720