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232420320 = 25335116773
BaseRepresentation
bin11011101101001…
…11001111100000
3121012100011202000
431312213033200
5433444422240
635021324000
75521353156
oct1566471740
9535304660
10232420320
1110a216910
1265a06600
13391c8b22
1422c213d6
1515610430
hexdda73e0

232420320 has 384 divisors, whose sum is σ = 913006080. Its totient is φ = 54743040.

The previous prime is 232420303. The next prime is 232420333. The reversal of 232420320 is 23024232.

232420320 is a `hidden beast` number, since 2 + 324 + 20 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232420293 and 232420302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183804 + ... + 3183876.

It is an arithmetic number, because the mean of its divisors is an integer number (2377620).

Almost surely, 2232420320 is an apocalyptic number.

232420320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456503040).

232420320 is an abundant number, since it is smaller than the sum of its proper divisors (680585760).

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

232420320 is a wasteful number, since it uses less digits than its factorization.

232420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232420320 is about 15245.3376479499. The cubic root of 232420320 is about 614.8342206348.

Adding to 232420320 its reverse (23024232), we get a palindrome (255444552).

The spelling of 232420320 in words is "two hundred thirty-two million, four hundred twenty thousand, three hundred twenty".