Search a number
-
+
22214052 = 223274257
BaseRepresentation
bin101010010111…
…1010110100100
31112210120221200
41110233112210
521141322202
62112042500
7356550000
oct124572644
945716850
1022214052
11115a2823
127533430
1347aa113
142d43700
151e3be1c
hex152f5a4

22214052 has 90 divisors (see below), whose sum is σ = 65761878. Its totient is φ = 6322176.

The previous prime is 22214009. The next prime is 22214057. The reversal of 22214052 is 25041222.

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 86436 = 4704^2 + 294^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86308 + ... + 86564.

Almost surely, 222214052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880939).

22214052 is an abundant number, since it is smaller than the sum of its proper divisors (43547826).

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

22214052 is a wasteful number, since it uses less digits than its factorization.

22214052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22214052 is about 4713.1785453131. The cubic root of 22214052 is about 281.1097623823.

Adding to 22214052 its reverse (25041222), we get a palindrome (47255274).

The spelling of 22214052 in words is "twenty-two million, two hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 257 294 343 441 514 588 686 771 882 1028 1029 1372 1542 1764 1799 2058 2313 2401 3084 3087 3598 4116 4626 4802 5397 6174 7196 7203 9252 9604 10794 12348 12593 14406 16191 21588 21609 25186 28812 32382 37779 43218 50372 64764 75558 86436 88151 113337 151116 176302 226674 264453 352604 453348 528906 617057 793359 1057812 1234114 1586718 1851171 2468228 3173436 3702342 5553513 7404684 11107026 22214052