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232121320 = 2355803033
BaseRepresentation
bin11011101010111…
…10001111101000
3121011202222120221
431311132033220
5433410340240
635011055424
75515666354
oct1565361750
9534688527
10232121320
1110a032202
12658a1574
13391229c2
1422b84464
15155a1a4a
hexdd5e3e8

232121320 has 16 divisors (see below), whose sum is σ = 522273060. Its totient is φ = 92848512.

The previous prime is 232121317. The next prime is 232121321. The reversal of 232121320 is 23121232.

It can be written as a sum of positive squares in 2 ways, for example, as 223861444 + 8259876 = 14962^2 + 2874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232121294 and 232121303.

It is not an unprimeable number, because it can be changed into a prime (232121321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2901477 + ... + 2901556.

Almost surely, 2232121320 is an apocalyptic number.

232121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232121320 is an abundant number, since it is smaller than the sum of its proper divisors (290151740).

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

232121320 is a wasteful number, since it uses less digits than its factorization.

232121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803044 (or 5803040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 232121320 is about 15235.5282153262. The cubic root of 232121320 is about 614.5704537937.

Adding to 232121320 its reverse (23121232), we get a palindrome (255242552).

The spelling of 232121320 in words is "two hundred thirty-two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5803033 11606066 23212132 29015165 46424264 58030330 116060660 232121320