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33362225 = 5213102653
BaseRepresentation
bin111111101000…
…1000100110001
32022202222100222
41333101010301
532020042400
63151022425
7553400651
oct177210461
968688328
1033362225
1117917596
12b20aa15
136bb1480
144606361
152de0185
hex1fd1131

33362225 has 12 divisors (see below), whose sum is σ = 44551836. Its totient is φ = 24636480.

The previous prime is 33362221. The next prime is 33362227. The reversal of 33362225 is 52226333.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 30724849 = 1624^2 + 5543^2 .

It is not a de Polignac number, because 33362225 - 22 = 33362221 is a prime.

It is a super-2 number, since 2×333622252 = 2226076113901250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33362194 and 33362203.

It is not an unprimeable number, because it can be changed into a prime (33362221) 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, 51002 + ... + 51651.

It is an arithmetic number, because the mean of its divisors is an integer number (3712653).

Almost surely, 233362225 is an apocalyptic number.

It is an amenable number.

33362225 is a deficient number, since it is larger than the sum of its proper divisors (11189611).

33362225 is a wasteful number, since it uses less digits than its factorization.

33362225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102676 (or 102671 counting only the distinct ones).

The product of its digits is 6480, while the sum is 26.

The square root of 33362225 is about 5776.0042416882. The cubic root of 33362225 is about 321.9227500090.

Adding to 33362225 its reverse (52226333), we get a palindrome (85588558).

The spelling of 33362225 in words is "thirty-three million, three hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 102653 513265 1334489 2566325 6672445 33362225