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33803225 = 521779537
BaseRepresentation
bin1000000011110…
…0101111011001
32100121101022022
42000330233121
532123200400
63204304225
7560215451
oct200745731
970541268
1033803225
1118098955
12b3a2075
137007111
1446bcd61
152e7ab85
hex203cbd9

33803225 has 12 divisors (see below), whose sum is σ = 44382204. Its totient is φ = 25451520.

The previous prime is 33803221. The next prime is 33803249. The reversal of 33803225 is 52230833.

33803225 = 6342 + 6352 + ... + 7082.

33803225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3211264 + 30591961 = 1792^2 + 5531^2 .

It is not a de Polignac number, because 33803225 - 22 = 33803221 is a prime.

It is a super-2 number, since 2×338032252 = 2285316040801250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33803194 and 33803203.

It is not an unprimeable number, because it can be changed into a prime (33803221) 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, 39344 + ... + 40193.

It is an arithmetic number, because the mean of its divisors is an integer number (3698517).

Almost surely, 233803225 is an apocalyptic number.

It is an amenable number.

33803225 is a deficient number, since it is larger than the sum of its proper divisors (10578979).

33803225 is a wasteful number, since it uses less digits than its factorization.

33803225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79564 (or 79559 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 33803225 is about 5814.0540933156. The cubic root of 33803225 is about 323.3349954450.

The spelling of 33803225 in words is "thirty-three million, eight hundred three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 79537 397685 1352129 1988425 6760645 33803225