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444021225 = 352431311051
BaseRepresentation
bin11010011101110…
…011100111101001
31010221111121121120
4122131303213221
51402132134400
6112020525453
714001055344
oct3235634751
91127447546
10444021225
1120870279a
12104850889
1370cb556b
1442d8345b
1528eabca0
hex1a7739e9

444021225 has 48 divisors (see below), whose sum is σ = 757641984. Its totient is φ = 229320000.

The previous prime is 444021169. The next prime is 444021239. The reversal of 444021225 is 522120444.

It is a happy number.

It is not a de Polignac number, because 444021225 - 29 = 444020713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 444021195 and 444021204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421950 + ... + 423000.

It is an arithmetic number, because the mean of its divisors is an integer number (15784208).

Almost surely, 2444021225 is an apocalyptic number.

It is an amenable number.

444021225 is a deficient number, since it is larger than the sum of its proper divisors (313620759).

444021225 is a wasteful number, since it uses less digits than its factorization.

444021225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 444021225 is about 21071.8111466480. The cubic root of 444021225 is about 762.9005187771.

Adding to 444021225 its reverse (522120444), we get a palindrome (966141669).

The spelling of 444021225 in words is "four hundred forty-four million, twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 129 131 215 393 645 655 1051 1075 1965 3153 3225 3275 5255 5633 9825 15765 16899 26275 28165 45193 78825 84495 135579 137681 140825 225965 413043 422475 677895 688405 1129825 2065215 3389475 3442025 5920283 10326075 17760849 29601415 88804245 148007075 444021225