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201468825 = 32528771021
BaseRepresentation
bin11000000001000…
…10101110011001
3112001002200021100
430000202232121
5403034000300
631554102013
74664312445
oct1400425631
9461080240
10201468825
11a37a6568
125757a909
133297ca2c
141ca85825
1512a49700
hexc022b99

201468825 has 36 divisors (see below), whose sum is σ = 361618348. Its totient is φ = 107222400.

The previous prime is 201468823. The next prime is 201468859. The reversal of 201468825 is 528864102.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 199911321 = 1248^2 + 14139^2 .

It is not a de Polignac number, because 201468825 - 21 = 201468823 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201468825.

It is not an unprimeable number, because it can be changed into a prime (201468823) 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 35 ways as a sum of consecutive naturals, for example, 196815 + ... + 197835.

Almost surely, 2201468825 is an apocalyptic number.

201468825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201468825 is a deficient number, since it is larger than the sum of its proper divisors (160149523).

201468825 is a wasteful number, since it uses less digits than its factorization.

201468825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 201468825 is about 14193.9714315621. The cubic root of 201468825 is about 586.2316806498.

The spelling of 201468825 in words is "two hundred one million, four hundred sixty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 877 1021 2631 3063 4385 5105 7893 9189 13155 15315 21925 25525 39465 45945 65775 76575 197325 229725 895417 2686251 4477085 8058753 13431255 22385425 40293765 67156275 201468825