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232323300 = 2232521131757
BaseRepresentation
bin11011101100011…
…11100011100100
3121012011020122200
431312033203210
5433433321200
635015254500
75520500256
oct1566174344
9535136580
10232323300
1110a15aa30
126597a430
1339193911
1422bd7cd6
15155e1800
hexdd8f8e4

232323300 has 216 divisors, whose sum is σ = 821114112. Its totient is φ = 54432000.

The previous prime is 232323283. The next prime is 232323307. The reversal of 232323300 is 3323232.

232323300 is digitally balanced in base 3, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (232323307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306522 + ... + 307278.

Almost surely, 2232323300 is an apocalyptic number.

232323300 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 232323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410557056).

232323300 is an abundant number, since it is smaller than the sum of its proper divisors (588790812).

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

232323300 is a wasteful number, since it uses less digits than its factorization.

232323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 232323300 is about 15242.1553593972. The cubic root of 232323300 is about 614.7486579523.

Adding to 232323300 its reverse (3323232), we get a palindrome (235646532).

The spelling of 232323300 in words is "two hundred thirty-two million, three hundred twenty-three thousand, three hundred".