Search a number
-
+
232032020 = 22511295881
BaseRepresentation
bin11011101010010…
…00011100010100
3121011121110002112
431311020130110
5433400011040
635005130152
75515145123
oct1565103424
9534543075
10232032020
11109a81100
1265859958
13390c116c
1422b5daba
1515585365
hexdd48714

232032020 has 36 divisors (see below), whose sum is σ = 535596852. Its totient is φ = 84374400.

The previous prime is 232032007. The next prime is 232032023. The reversal of 232032020 is 20230232.

It can be written as a sum of positive squares in 2 ways, for example, as 173080336 + 58951684 = 13156^2 + 7678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232031986 and 232032004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232032023) 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, 45521 + ... + 50360.

Almost surely, 2232032020 is an apocalyptic number.

232032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232032020 is an abundant number, since it is smaller than the sum of its proper divisors (303564832).

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

232032020 is a wasteful number, since it uses less digits than its factorization.

232032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95912 (or 95899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 232032020 is about 15232.5972834576. The cubic root of 232032020 is about 614.4916326829.

Adding to 232032020 its reverse (20230232), we get a palindrome (252262252).

The spelling of 232032020 in words is "two hundred thirty-two million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 95881 191762 383524 479405 958810 1054691 1917620 2109382 4218764 5273455 10546910 11601601 21093820 23203202 46406404 58008005 116016010 232032020