Search a number
-
+
25220214 = 2331783331
BaseRepresentation
bin110000000110…
…1010001110110
31202110022122000
41200031101312
522424021324
62300320130
7424240215
oct140152166
952408560
1025220214
1113266358
128543046
1352c0506
1434c707c
1523329c9
hex180d476

25220214 has 64 divisors (see below), whose sum is σ = 60238080. Its totient is φ = 7793280.

The previous prime is 25220191. The next prime is 25220257. The reversal of 25220214 is 41202252.

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

It is a congruent number.

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, 76029 + ... + 76359.

It is an arithmetic number, because the mean of its divisors is an integer number (941220).

Almost surely, 225220214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25220214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30119040).

25220214 is an abundant number, since it is smaller than the sum of its proper divisors (35017866).

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

25220214 is a wasteful number, since it uses less digits than its factorization.

25220214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

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

The square root of 25220214 is about 5021.9731182076. The cubic root of 25220214 is about 293.2578114232.

Adding to 25220214 its reverse (41202252), we get a palindrome (66422466).

The spelling of 25220214 in words is "twenty-five million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 83 102 153 166 249 306 331 459 498 662 747 918 993 1411 1494 1986 2241 2822 2979 4233 4482 5627 5958 8466 8937 11254 12699 16881 17874 25398 27473 33762 38097 50643 54946 76194 82419 101286 151929 164838 247257 303858 467041 494514 741771 934082 1401123 1483542 2802246 4203369 8406738 12610107 25220214