Search a number
-
+
22071204 = 2238292
BaseRepresentation
bin101010000110…
…0011110100100
31112112100000000
41110030132210
521122234304
62105021300
7355413351
oct124143644
945470000
1022071204
1111505471
127484830
13475a0ac
142d07628
151e0e939
hex150c7a4

22071204 has 81 divisors (see below), whose sum is σ = 60000577. Its totient is φ = 7103376.

The previous prime is 22071193. The next prime is 22071209. The reversal of 22071204 is 40217022.

The square root of 22071204 is 4698.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11573604 + 10497600 = 3402^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22071209) 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 26 ways as a sum of consecutive naturals, for example, 761062 + ... + 761090.

Almost surely, 222071204 is an apocalyptic number.

22071204 is the 4698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22071204

22071204 is an abundant number, since it is smaller than the sum of its proper divisors (37929373).

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

22071204 is an frugal number, since it uses more digits than its factorization.

22071204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 22071204 is about 280.5059051060.

Adding to 22071204 its reverse (40217022), we get a palindrome (62288226).

The spelling of 22071204 in words is "twenty-two million, seventy-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 841 972 1044 1458 1566 1682 2187 2349 2523 2916 3132 3364 4374 4698 5046 6561 7047 7569 8748 9396 10092 13122 14094 15138 21141 22707 26244 28188 30276 42282 45414 63423 68121 84564 90828 126846 136242 190269 204363 253692 272484 380538 408726 613089 761076 817452 1226178 1839267 2452356 3678534 5517801 7357068 11035602 22071204