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14425200 = 2432524007
BaseRepresentation
bin110111000001…
…110001110000
31000010212122200
4313001301300
512143101300
61233103200
7233416656
oct67016160
930125580
1014425200
118162959
1249b7b00
132cb0b2a
141cb6dd6
1513ee200
hexdc1c70

14425200 has 90 divisors (see below), whose sum is σ = 50071944. Its totient is φ = 3845760.

The previous prime is 14425189. The next prime is 14425207. The reversal of 14425200 is 252441.

14425200 is a `hidden beast` number, since 144 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 (14425207) 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 17 ways as a sum of consecutive naturals, for example, 1597 + ... + 5603.

Almost surely, 214425200 is an apocalyptic number.

14425200 is a gapful number since it is divisible by the number (10) 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 14425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035972).

14425200 is an abundant number, since it is smaller than the sum of its proper divisors (35646744).

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

14425200 is a wasteful number, since it uses less digits than its factorization.

14425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4017 counting only the distinct ones).

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

The square root of 14425200 is about 3798.0521323436. The cubic root of 14425200 is about 243.4299151644.

Adding to 14425200 its reverse (252441), we get a palindrome (14677641).

The spelling of 14425200 in words is "fourteen million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 4007 8014 12021 16028 20035 24042 32056 36063 40070 48084 60105 64112 72126 80140 96168 100175 120210 144252 160280 180315 192336 200350 240420 288504 300525 320560 360630 400700 480840 577008 601050 721260 801400 901575 961680 1202100 1442520 1602800 1803150 2404200 2885040 3606300 4808400 7212600 14425200