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25220412 = 22327412441
BaseRepresentation
bin110000000110…
…1010100111100
31202110022220100
41200031110330
522424023122
62300321100
7424240620
oct140152474
952408810
1025220412
1113266518
128543190
1352c0629
1434c7180
152332aac
hex180d53c

25220412 has 72 divisors (see below), whose sum is σ = 74666592. Its totient is φ = 7027200.

The previous prime is 25220399. The next prime is 25220417. The reversal of 25220412 is 21402252.

25220412 is a `hidden beast` number, since 252 + 2 + 0 + 412 = 666.

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 (25220417) 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 23 ways as a sum of consecutive naturals, for example, 9112 + ... + 11552.

It is an arithmetic number, because the mean of its divisors is an integer number (1037036).

Almost surely, 225220412 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 25220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37333296).

25220412 is an abundant number, since it is smaller than the sum of its proper divisors (49446180).

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

25220412 is a wasteful number, since it uses less digits than its factorization.

25220412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2494 counting only the distinct ones).

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

The square root of 25220412 is about 5021.9928315361. The cubic root of 25220412 is about 293.2585788618.

Adding to 25220412 its reverse (21402252), we get a palindrome (46622664).

It can be divided in two parts, 252 and 20412, that multiplied together give a square (5143824 = 22682).

The spelling of 25220412 in words is "twenty-five million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2441 2583 3444 4882 5166 7323 9764 10332 14646 17087 21969 29292 34174 43938 51261 68348 87876 100081 102522 153783 200162 205044 300243 307566 400324 600486 615132 700567 900729 1200972 1401134 1801458 2101701 2802268 3602916 4203402 6305103 8406804 12610206 25220412