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233301213 = 322310111159
BaseRepresentation
bin11011110011111…
…10010011011101
3121020222221002200
431321332103131
5434211114323
635052242113
75532012315
oct1571762335
9536887080
10233301213
1110a768722
1266170339
1339446a72
1422db0445
1515736443
hexde7e4dd

233301213 has 24 divisors (see below), whose sum is σ = 355155840. Its totient is φ = 147285600.

The previous prime is 233301203. The next prime is 233301221. The reversal of 233301213 is 312103332.

It is not a de Polignac number, because 233301213 - 212 = 233297117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15328 + ... + 26486.

It is an arithmetic number, because the mean of its divisors is an integer number (14798160).

Almost surely, 2233301213 is an apocalyptic number.

233301213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233301213 is a deficient number, since it is larger than the sum of its proper divisors (121854627).

233301213 is a wasteful number, since it uses less digits than its factorization.

233301213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11289 (or 11286 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233301213 is about 15274.2008956279. The cubic root of 233301213 is about 615.6099995589.

Adding to 233301213 its reverse (312103332), we get a palindrome (545404545).

The spelling of 233301213 in words is "two hundred thirty-three million, three hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 23 69 101 207 303 909 2323 6969 11159 20907 33477 100431 256657 769971 1127059 2309913 3381177 10143531 25922357 77767071 233301213