Search a number
-
+
233363130 = 2357111319409
BaseRepresentation
bin11011110100011…
…01011010111010
3121021010002000220
431322031122322
5434220110010
635053440510
75532360660
oct1572153272
9537102026
10233363130
1110a8001a0
12661a0136
1339468cc0
1422dc8c30
1515749970
hexde8d6ba

233363130 has 256 divisors, whose sum is σ = 793497600. Its totient is φ = 42301440.

The previous prime is 233363093. The next prime is 233363147. The reversal of 233363130 is 31363332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233363130.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 570366 + ... + 570774.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 2233363130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233363130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396748800).

233363130 is an abundant number, since it is smaller than the sum of its proper divisors (560134470).

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

233363130 is a wasteful number, since it uses less digits than its factorization.

233363130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 2916, while the sum is 24.

The square root of 233363130 is about 15276.2276102446. The cubic root of 233363130 is about 615.6644547021.

It can be divided in two parts, 233 and 363130, that added together give a palindrome (363363).

The spelling of 233363130 in words is "two hundred thirty-three million, three hundred sixty-three thousand, one hundred thirty".