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22170980 = 22513269317
BaseRepresentation
bin101010010010…
…0110101100100
31112201101212102
41110210311210
521133432410
62111111232
7356310266
oct124446544
945641772
1022170980
1111573427
127512518
134793630
142d31b36
151e2e2a5
hex1524d64

22170980 has 48 divisors (see below), whose sum is σ = 50485680. Its totient is φ = 8130048.

The previous prime is 22170979. The next prime is 22170989. The reversal of 22170980 is 8907122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11464996 + 10705984 = 3386^2 + 3272^2 .

It is not an unprimeable number, because it can be changed into a prime (22170989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69782 + ... + 70098.

It is an arithmetic number, because the mean of its divisors is an integer number (1051785).

Almost surely, 222170980 is an apocalyptic number.

22170980 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 22170980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242840).

22170980 is an abundant number, since it is smaller than the sum of its proper divisors (28314700).

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

22170980 is a wasteful number, since it uses less digits than its factorization.

22170980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 22170980 is about 4708.6070126949. The cubic root of 22170980 is about 280.9279586346.

The spelling of 22170980 in words is "twenty-two million, one hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 317 538 634 1076 1268 1345 1585 2690 3170 3497 4121 5380 6340 6994 8242 13988 16484 17485 20605 34970 41210 69940 82420 85273 170546 341092 426365 852730 1108549 1705460 2217098 4434196 5542745 11085490 22170980