Search a number
-
+
233433140 = 225113103289
BaseRepresentation
bin11011110100111…
…10100000110100
3121021020122001212
431322132200310
5434224330030
635055140552
75533102043
oct1572364064
9537218055
10233433140
1110a848856
1266214758
1339491b25
142300655a
1515760595
hexde9e834

233433140 has 24 divisors (see below), whose sum is σ = 494552520. Its totient is φ = 92546048.

The previous prime is 233433139. The next prime is 233433143. The reversal of 233433140 is 41334332.

It can be written as a sum of positive squares in 4 ways, for example, as 22486564 + 210946576 = 4742^2 + 14524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233433143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49385 + ... + 53904.

It is an arithmetic number, because the mean of its divisors is an integer number (20606355).

Almost surely, 2233433140 is an apocalyptic number.

233433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233433140 is an abundant number, since it is smaller than the sum of its proper divisors (261119380).

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

233433140 is a wasteful number, since it uses less digits than its factorization.

233433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103411 (or 103409 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 233433140 is about 15278.5189072763. The cubic root of 233433140 is about 615.7260159248.

Adding to 233433140 its reverse (41334332), we get a palindrome (274767472).

The spelling of 233433140 in words is "two hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 103289 206578 413156 516445 1032890 2065780 11671657 23343314 46686628 58358285 116716570 233433140