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232216320 = 2835753163
BaseRepresentation
bin11011101011101…
…01011100000000
3121011221210220110
431311311130000
5433421410240
635013111320
75516543340
oct1565653400
9534853813
10232216320
1110a097616
1265928540
133915700b
1422baad20
15155bec80
hexdd75700

232216320 has 288 divisors, whose sum is σ = 868879872. Its totient is φ = 51757056.

The previous prime is 232216307. The next prime is 232216337. The reversal of 232216320 is 23612232.

232216320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424559 + ... + 1424721.

It is an arithmetic number, because the mean of its divisors is an integer number (3016944).

Almost surely, 2232216320 is an apocalyptic number.

232216320 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 232216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434439936).

232216320 is an abundant number, since it is smaller than the sum of its proper divisors (636663552).

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

232216320 is a wasteful number, since it uses less digits than its factorization.

232216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 232216320 is about 15238.6456091084. The cubic root of 232216320 is about 614.6542838500.

Adding to 232216320 its reverse (23612232), we get a palindrome (255828552).

The spelling of 232216320 in words is "two hundred thirty-two million, two hundred sixteen thousand, three hundred twenty".