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25422100 = 2252113191
BaseRepresentation
bin110000011111…
…0100100010100
31202211120120021
41200332210110
523002001400
62304514524
7426040624
oct140764424
952746507
1025422100
1113394000
12861ba44
135361382
14353a884
15237271a
hex183e914

25422100 has 72 divisors (see below), whose sum is σ = 60996096. Its totient is φ = 9196000.

The previous prime is 25422053. The next prime is 25422109. The reversal of 25422100 is 122452.

25422100 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25422109) 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, 133005 + ... + 133195.

It is an arithmetic number, because the mean of its divisors is an integer number (847168).

Almost surely, 225422100 is an apocalyptic number.

25422100 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 25422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30498048).

25422100 is an abundant number, since it is smaller than the sum of its proper divisors (35573996).

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

25422100 is a wasteful number, since it uses less digits than its factorization.

25422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 25422100 is about 5042.0333200010. The cubic root of 25422100 is about 294.0382352666.

Adding to 25422100 its reverse (122452), we get a palindrome (25544552).

The spelling of 25422100 in words is "twenty-five million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 191 220 242 275 382 484 550 605 764 955 1100 1210 1331 1910 2101 2420 2662 3025 3820 4202 4775 5324 6050 6655 8404 9550 10505 12100 13310 19100 21010 23111 26620 33275 42020 46222 52525 66550 92444 105050 115555 133100 210100 231110 254221 462220 508442 577775 1016884 1155550 1271105 2311100 2542210 5084420 6355525 12711050 25422100