Search a number
-
+
233196381 = 33116711719
BaseRepresentation
bin11011110011001…
…00101101011101
3121020210121022000
431321210231131
5434144241011
635050112513
75531064555
oct1571445535
9536717260
10233196381
1110a6a6990
126611b739
133940b132
1422d84165
1515715356
hexde64b5d

233196381 has 32 divisors (see below), whose sum is σ = 382540800. Its totient is φ = 139209840.

The previous prime is 233196373. The next prime is 233196391. The reversal of 233196381 is 183691332.

233196381 is a `hidden beast` number, since 2 + 3 + 3 + 19 + 638 + 1 = 666.

It is not a de Polignac number, because 233196381 - 23 = 233196373 is a prime.

It is a super-2 number, since 2×2331963812 = 108761104222994322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233196371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14040 + ... + 25758.

It is an arithmetic number, because the mean of its divisors is an integer number (11954400).

Almost surely, 2233196381 is an apocalyptic number.

It is an amenable number.

233196381 is a deficient number, since it is larger than the sum of its proper divisors (149344419).

233196381 is a wasteful number, since it uses less digits than its factorization.

233196381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806 (or 11800 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 233196381 is about 15270.7688411553. The cubic root of 233196381 is about 615.5177792982.

The spelling of 233196381 in words is "two hundred thirty-three million, one hundred ninety-six thousand, three hundred eighty-one".

Divisors: 1 3 9 11 27 33 67 99 201 297 603 737 1809 2211 6633 11719 19899 35157 105471 128909 316413 386727 785173 1160181 2355519 3480543 7066557 8636903 21199671 25910709 77732127 233196381