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33136213 = 1121789181
BaseRepresentation
bin111111001100…
…1111001010101
32022100111100011
41332121321111
531440324323
63142120221
7551440015
oct176317125
968314304
1033136213
1117782800
12b120071
136b32636
144587c45
152d9820d
hex1f99e55

33136213 has 24 divisors (see below), whose sum is σ = 39213720. Its totient is φ = 27878400.

The previous prime is 33136193. The next prime is 33136217. The reversal of 33136213 is 31263133.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 33097009 = 198^2 + 5753^2 .

It is not a de Polignac number, because 33136213 - 221 = 31039061 is a prime.

It is a super-2 number, since 2×331362132 = 2196017223962738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33136217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182983 + ... + 183163.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 233136213 is an apocalyptic number.

It is an amenable number.

33136213 is a deficient number, since it is larger than the sum of its proper divisors (6077507).

33136213 is a wasteful number, since it uses less digits than its factorization.

33136213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 972, while the sum is 22.

The square root of 33136213 is about 5756.4062573797. The cubic root of 33136213 is about 321.1941482639.

Adding to 33136213 its reverse (31263133), we get a palindrome (64399346).

Subtracting from 33136213 its reverse (31263133), we obtain a triangular number (1873080 = T1935).

The spelling of 33136213 in words is "thirty-three million, one hundred thirty-six thousand, two hundred thirteen".

Divisors: 1 11 17 89 121 181 187 979 1513 1991 2057 3077 10769 16109 16643 21901 33847 177199 183073 273853 372317 1949189 3012383 33136213