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232300320 = 25357471471
BaseRepresentation
bin11011101100010…
…01111100100000
3121012010002010120
431312021330200
5433432102240
635015000240
75520343260
oct1566117440
9535102116
10232300320
1110a14473a
1265969080
1339186315
1422bcd7a0
15155d9ad0
hexdd89f20

232300320 has 192 divisors, whose sum is σ = 854654976. Its totient is φ = 51932160.

The previous prime is 232300309. The next prime is 232300361. The reversal of 232300320 is 23003232.

232300320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232300320.

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, 157185 + ... + 158655.

It is an arithmetic number, because the mean of its divisors is an integer number (4451328).

Almost surely, 2232300320 is an apocalyptic number.

232300320 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 232300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427327488).

232300320 is an abundant number, since it is smaller than the sum of its proper divisors (622354656).

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

232300320 is a wasteful number, since it uses less digits than its factorization.

232300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 232300320 is about 15241.4015103599. The cubic root of 232300320 is about 614.7283882248.

Adding to 232300320 its reverse (23003232), we get a palindrome (255303552).

The spelling of 232300320 in words is "two hundred thirty-two million, three hundred thousand, three hundred twenty".