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442254225 = 35272633203
BaseRepresentation
bin11010010111000…
…100001110010001
31010211011211202010
4122113010032101
51401204113400
6111515013133
713650045630
oct3227041621
91124154663
10442254225
11207706166
1210413a1a9
13708171ba
1442a43517
1528c5d450
hex1a5c4391

442254225 has 48 divisors (see below), whose sum is σ = 839089152. Its totient is φ = 201341760.

The previous prime is 442254193. The next prime is 442254227. The reversal of 442254225 is 522452244.

It is not a de Polignac number, because 442254225 - 25 = 442254193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442254192 and 442254201.

It is not an unprimeable number, because it can be changed into a prime (442254227) 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 47 ways as a sum of consecutive naturals, for example, 136474 + ... + 139676.

It is an arithmetic number, because the mean of its divisors is an integer number (17481024).

Almost surely, 2442254225 is an apocalyptic number.

It is an amenable number.

442254225 is a deficient number, since it is larger than the sum of its proper divisors (396834927).

442254225 is a wasteful number, since it uses less digits than its factorization.

442254225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3481 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 442254225 is about 21029.8412975467. The cubic root of 442254225 is about 761.8871757923.

The spelling of 442254225 in words is "four hundred forty-two million, two hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 263 525 789 1315 1841 3203 3945 5523 6575 9205 9609 16015 19725 22421 27615 46025 48045 67263 80075 112105 138075 240225 336315 560525 842389 1681575 2527167 4211945 5896723 12635835 17690169 21059725 29483615 63179175 88450845 147418075 442254225