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233231140 = 225431032633
BaseRepresentation
bin11011110011011…
…01001100100100
3121020212100222101
431321231030210
5434201344030
635050541444
75531301112
oct1571551444
9536770871
10233231140
1110a72000a
1266137884
1339420bbc
1422d92ab2
15157207ca
hexde6d324

233231140 has 48 divisors (see below), whose sum is σ = 506233728. Its totient is φ = 90203904.

The previous prime is 233231113. The next prime is 233231179. The reversal of 233231140 is 41132332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87264 + ... + 89896.

It is an arithmetic number, because the mean of its divisors is an integer number (10546536).

Almost surely, 2233231140 is an apocalyptic number.

233231140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253116864).

233231140 is an abundant number, since it is smaller than the sum of its proper divisors (273002588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233231140 is a wasteful number, since it uses less digits than its factorization.

233231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 233231140 is about 15271.9068881394. The cubic root of 233231140 is about 615.5483597036.

Adding to 233231140 its reverse (41132332), we get a palindrome (274363472).

The spelling of 233231140 in words is "two hundred thirty-three million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 103 172 206 215 412 430 515 860 1030 2060 2633 4429 5266 8858 10532 13165 17716 22145 26330 44290 52660 88580 113219 226438 271199 452876 542398 566095 1084796 1132190 1355995 2264380 2711990 5423980 11661557 23323114 46646228 58307785 116615570 233231140