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233140431 = 31719240599
BaseRepresentation
bin11011110010101…
…11000011001111
3121020200202112210
431321113003033
5434140443211
635045001503
75530442466
oct1571270317
9536622483
10233140431
1110a668947
12660b3293
13393bb824
1422d6b9dd
15157039a6
hexde570cf

233140431 has 16 divisors (see below), whose sum is σ = 346464000. Its totient is φ = 138584448.

The previous prime is 233140423. The next prime is 233140471. The reversal of 233140431 is 134041332.

It is not a de Polignac number, because 233140431 - 23 = 233140423 is a prime.

It is a super-2 number, since 2×2331404312 = 108708921133731522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233140398 and 233140407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233140471) 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 15 ways as a sum of consecutive naturals, for example, 119331 + ... + 121268.

It is an arithmetic number, because the mean of its divisors is an integer number (21654000).

Almost surely, 2233140431 is an apocalyptic number.

233140431 is a deficient number, since it is larger than the sum of its proper divisors (113323569).

233140431 is a wasteful number, since it uses less digits than its factorization.

233140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240638.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 233140431 is about 15268.9367999216. The cubic root of 233140431 is about 615.4685490111.

Adding to 233140431 its reverse (134041332), we get a palindrome (367181763).

Subtracting from 233140431 its reverse (134041332), we obtain a palindrome (99099099).

The spelling of 233140431 in words is "two hundred thirty-three million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 969 240599 721797 4090183 4571381 12270549 13714143 77713477 233140431