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202416145 = 540998981
BaseRepresentation
bin11000001000010…
…10000000010001
3112002212210202021
430010022000101
5403304304040
632030251441
75005336351
oct1404120021
9462783667
10202416145
11a4293278
1257956b81
1332c21c89
141cc50b61
1512b8524a
hexc10a011

202416145 has 8 divisors (see below), whose sum is σ = 243495720. Its totient is φ = 161535360.

The previous prime is 202416131. The next prime is 202416157. The reversal of 202416145 is 541614202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 184063489 = 4284^2 + 13567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 202416145 - 217 = 202285073 is a prime.

It is a super-2 number, since 2×2024161452 = 81944591513322050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47446 + ... + 51535.

It is an arithmetic number, because the mean of its divisors is an integer number (30436965).

Almost surely, 2202416145 is an apocalyptic number.

It is an amenable number.

202416145 is a deficient number, since it is larger than the sum of its proper divisors (41079575).

202416145 is an equidigital number, since it uses as much as digits as its factorization.

202416145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99395.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 202416145 is about 14227.3028013043. The cubic root of 202416145 is about 587.1490778914.

The spelling of 202416145 in words is "two hundred two million, four hundred sixteen thousand, one hundred forty-five".

Divisors: 1 5 409 2045 98981 494905 40483229 202416145