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33231133 = 131927397
BaseRepresentation
bin111111011000…
…1000100011101
32022112022112201
41332301010131
532001344013
63144131501
7552313525
oct176610435
968468481
1033231133
1117838051
12b166b91
136b668c0
1445b0685
152db63dd
hex1fb111d

33231133 has 24 divisors (see below), whose sum is σ = 38682168. Its totient is φ = 28366848.

The previous prime is 33231109. The next prime is 33231137. The reversal of 33231133 is 33113233.

It can be written as a sum of positive squares in 4 ways, for example, as 1387684 + 31843449 = 1178^2 + 5643^2 .

It is not a de Polignac number, because 33231133 - 29 = 33230621 is a prime.

It is a super-2 number, since 2×332311332 = 2208616400927378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33231133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33231137) 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, 342541 + ... + 342637.

It is an arithmetic number, because the mean of its divisors is an integer number (1611757).

Almost surely, 233231133 is an apocalyptic number.

It is an amenable number.

33231133 is a deficient number, since it is larger than the sum of its proper divisors (5451035).

33231133 is a wasteful number, since it uses less digits than its factorization.

33231133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its digits is 486, while the sum is 19.

The square root of 33231133 is about 5764.6450888151. The cubic root of 33231133 is about 321.5005470234.

Adding to 33231133 its reverse (33113233), we get a palindrome (66344366).

The spelling of 33231133 in words is "thirty-three million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 13 19 73 97 247 361 949 1261 1387 1843 4693 7081 18031 23959 26353 35017 92053 134539 342589 455221 1749007 2556241 33231133