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22230180 = 2233575881
BaseRepresentation
bin101010011001…
…1010010100100
31112211102002000
41110303102210
521142331210
62112245300
7356645010
oct124632244
945742060
1022230180
1111603955
127540830
1347b456b
142d49540
151e41ac0
hex15334a4

22230180 has 96 divisors (see below), whose sum is σ = 79054080. Its totient is φ = 5080320.

The previous prime is 22230149. The next prime is 22230227. The reversal of 22230180 is 8103222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 840 + ... + 6720.

It is an arithmetic number, because the mean of its divisors is an integer number (823480).

Almost surely, 222230180 is an apocalyptic number.

22230180 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 22230180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527040).

22230180 is an abundant number, since it is smaller than the sum of its proper divisors (56823900).

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

22230180 is a wasteful number, since it uses less digits than its factorization.

22230180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22230180 is about 4714.8891821548. The cubic root of 22230180 is about 281.1777770108.

The spelling of 22230180 in words is "twenty-two million, two hundred thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5881 11762 17643 23524 29405 35286 41167 52929 58810 70572 82334 88215 105858 117620 123501 158787 164668 176430 205835 211716 247002 264645 317574 352860 370503 411670 494004 529290 617505 635148 741006 793935 823340 1058580 1111509 1235010 1482012 1587870 1852515 2223018 2470020 3175740 3705030 4446036 5557545 7410060 11115090 22230180