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233132120 = 23513234487
BaseRepresentation
bin11011110010101…
…01000001011000
3121020200100010222
431321111001120
5434140211440
635044455212
75530406324
oct1571250130
9536610128
10233132120
1110a662681
12660aa508
13393b7b00
1422d68984
15157012b5
hexde55058

233132120 has 48 divisors (see below), whose sum is σ = 568017360. Its totient is φ = 86077056.

The previous prime is 233132099. The next prime is 233132129. The reversal of 233132120 is 21231332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10484 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (11833695).

Almost surely, 2233132120 is an apocalyptic number.

233132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233132120 is an abundant number, since it is smaller than the sum of its proper divisors (334885240).

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

233132120 is a wasteful number, since it uses less digits than its factorization.

233132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34524 (or 34507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 233132120 is about 15268.6646436419. The cubic root of 233132120 is about 615.4612355079.

Adding to 233132120 its reverse (21231332), we get a palindrome (254363452).

The spelling of 233132120 in words is "two hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 34487 68974 137948 172435 275896 344870 448331 689740 896662 1379480 1793324 2241655 3586648 4483310 5828303 8966620 11656606 17933240 23313212 29141515 46626424 58283030 116566060 233132120