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33140225 = 521777977
BaseRepresentation
bin111111001101…
…0111000000001
32022100200211202
41332122320001
531440441400
63142150545
7551454506
oct176327001
968320752
1033140225
1117785818
12b122455
136b34401
1445894ad
152d994d5
hex1f9ae01

33140225 has 12 divisors (see below), whose sum is σ = 43511724. Its totient is φ = 24952320.

The previous prime is 33140213. The next prime is 33140227. The reversal of 33140225 is 52204133.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 146689 + 32993536 = 383^2 + 5744^2 .

It is not a de Polignac number, because 33140225 - 28 = 33139969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33140197 and 33140206.

It is not an unprimeable number, because it can be changed into a prime (33140227) 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 11 ways as a sum of consecutive naturals, for example, 38564 + ... + 39413.

It is an arithmetic number, because the mean of its divisors is an integer number (3625977).

Almost surely, 233140225 is an apocalyptic number.

It is an amenable number.

33140225 is a deficient number, since it is larger than the sum of its proper divisors (10371499).

33140225 is a wasteful number, since it uses less digits than its factorization.

33140225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78004 (or 77999 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 33140225 is about 5756.7547281433. The cubic root of 33140225 is about 321.2071107080.

Adding to 33140225 its reverse (52204133), we get a palindrome (85344358).

The spelling of 33140225 in words is "thirty-three million, one hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 77977 389885 1325609 1949425 6628045 33140225