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33868881225 = 3252122692
BaseRepresentation
bin11111100010101111…
…100001110101001001
310020102101021102200100
4133202233201311021
51023330413144400
623320435400013
72306205511644
oct374257416511
9106371242610
1033868881225
1113400111833
126692753009
133269a98a2a
1418d41caa5b
15d335ee100
hex7e2be1d49

33868881225 has 27 divisors (see below), whose sum is σ = 60667874293. Its totient is φ = 18061931040.

The previous prime is 33868881223. The next prime is 33868881239. The reversal of 33868881225 is 52218886833.

The square root of 33868881225 is 184035.

It is a perfect power (a square), and thus also a powerful number.

33868881225 is a `hidden beast` number, since 338 + 6 + 8 + 8 + 81 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5337617481 + 28531263744 = 73059^2 + 168912^2 .

It is not a de Polignac number, because 33868881225 - 21 = 33868881223 is a prime.

It is a super-2 number, since 2×338688812252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33868881223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2754391 + ... + 2766659.

Almost surely, 233868881225 is an apocalyptic number.

33868881225 is the 184035-th square number.

33868881225 is the 92018-th centered octagonal number.

It is an amenable number.

33868881225 is a deficient number, since it is larger than the sum of its proper divisors (26798993068).

33868881225 is an frugal number, since it uses more digits than its factorization.

33868881225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24554 (or 12277 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 33868881225 in words is "thirty-three billion, eight hundred sixty-eight million, eight hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 12269 36807 61345 110421 184035 306725 552105 920175 2760525 150528361 451585083 752641805 1354755249 2257925415 3763209025 6773776245 11289627075 33868881225