Search a number
-
+
442068225 = 35216336161
BaseRepresentation
bin11010010110010…
…110110100000001
31010210211101121020
4122112112310001
51401132140400
6111511020053
713645342434
oct3226266401
91123741536
10442068225
11207599445
1210406a629
1370780641
14429d581b
1528c232a0
hex1a596d01

442068225 has 24 divisors (see below), whose sum is σ = 735390432. Its totient is φ = 234316800.

The previous prime is 442068203. The next prime is 442068227. The reversal of 442068225 is 522860244.

It is not a de Polignac number, because 442068225 - 26 = 442068161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442068227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5856 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (30641268).

Almost surely, 2442068225 is an apocalyptic number.

It is an amenable number.

442068225 is a deficient number, since it is larger than the sum of its proper divisors (293322207).

442068225 is a wasteful number, since it uses less digits than its factorization.

442068225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36337 (or 36332 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 442068225 is about 21025.4185451800. The cubic root of 442068225 is about 761.7803511969.

The spelling of 442068225 in words is "four hundred forty-two million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 163 489 815 2445 4075 12225 36161 108483 180805 542415 904025 2712075 5894243 17682729 29471215 88413645 147356075 442068225