Search a number
-
+
233131100 = 22525343987
BaseRepresentation
bin11011110010101…
…00110001011100
3121020200021202012
431321110301130
5434140143400
635044450352
75530403336
oct1571246134
9536607665
10233131100
1110a661934
12660a99b8
13393b74c7
1422d68456
1515700d35
hexde54c5c

233131100 has 36 divisors (see below), whose sum is σ = 515451384. Its totient is φ = 91490880.

The previous prime is 233131099. The next prime is 233131103. The reversal of 233131100 is 1131332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16694 + ... + 27293.

It is an arithmetic number, because the mean of its divisors is an integer number (14318094).

Almost surely, 2233131100 is an apocalyptic number.

233131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131100 is an abundant number, since it is smaller than the sum of its proper divisors (282320284).

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

233131100 is a wasteful number, since it uses less digits than its factorization.

233131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44054 (or 44047 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 233131100 is about 15268.6312418632. The cubic root of 233131100 is about 615.4603379176.

Adding to 233131100 its reverse (1131332), we get a palindrome (234262432).

The spelling of 233131100 in words is "two hundred thirty-three million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 43987 87974 175948 219935 439870 879740 1099675 2199350 2331311 4398700 4662622 9325244 11656555 23313110 46626220 58282775 116565550 233131100