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444207225 = 35271176919
BaseRepresentation
bin11010011110100…
…001000001111001
31010221212001202110
4122132201001321
51402204112400
6112024522533
714002461540
oct3236410171
91127761673
10444207225
1120881a510
12104920449
137104c117
1442dd1157
1528ee6e50
hex1a7a1079

444207225 has 48 divisors (see below), whose sum is σ = 915655680. Its totient is φ = 184603200.

The previous prime is 444207217. The next prime is 444207227. The reversal of 444207225 is 522702444.

It is not a de Polignac number, because 444207225 - 23 = 444207217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444207192 and 444207201.

It is not an unprimeable number, because it can be changed into a prime (444207227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32685 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (19076160).

Almost surely, 2444207225 is an apocalyptic number.

It is an amenable number.

444207225 is an abundant number, since it is smaller than the sum of its proper divisors (471448455).

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

444207225 is a wasteful number, since it uses less digits than its factorization.

444207225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76950 (or 76945 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 444207225 is about 21076.2241637348. The cubic root of 444207225 is about 763.0070299672.

Adding to 444207225 its reverse (522702444), we get a palindrome (966909669).

The spelling of 444207225 in words is "four hundred forty-four million, two hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 76919 230757 384595 538433 846109 1153785 1615299 1922975 2538327 2692165 4230545 5768925 5922763 8076495 12691635 13460825 17768289 21152725 29613815 40382475 63458175 88841445 148069075 444207225