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444442201 = 7244920201
BaseRepresentation
bin11010011111011…
…010011001011001
31010222022000002021
4122133122121121
51402234122301
6112033534441
714004460600
oct3237323131
91128260067
10444442201
11208970005
12104a14421
1371102068
1443052a37
15290418a1
hex1a7da659

444442201 has 12 divisors (see below), whose sum is σ = 518181300. Its totient is φ = 380083200.

The previous prime is 444442189. The next prime is 444442213. The reversal of 444442201 is 102244444.

It is an interprime number because it is at equal distance from previous prime (444442189) and next prime (444442213).

It can be written as a sum of positive squares in 2 ways, for example, as 85377600 + 359064601 = 9240^2 + 18949^2 .

It is not a de Polignac number, because 444442201 - 27 = 444442073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11901 + ... + 32101.

It is an arithmetic number, because the mean of its divisors is an integer number (43181775).

Almost surely, 2444442201 is an apocalyptic number.

It is an amenable number.

444442201 is a deficient number, since it is larger than the sum of its proper divisors (73739099).

444442201 is a wasteful number, since it uses less digits than its factorization.

444442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444442201 is about 21081.7978597652. The cubic root of 444442201 is about 763.1415443153.

Adding to 444442201 its reverse (102244444), we get a palindrome (546686645).

The spelling of 444442201 in words is "four hundred forty-four million, four hundred forty-two thousand, two hundred one".

Divisors: 1 7 49 449 3143 20201 22001 141407 989849 9070249 63491743 444442201