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232332000 = 25353191019
BaseRepresentation
bin11011101100100…
…01101011100000
3121012011200120220
431312101223200
5433434111000
635015403040
75520534525
oct1566215340
9535150526
10232332000
1110a16651a
1265983480
1339197874
1422bdb14c
15155e41a0
hexdd91ae0

232332000 has 192 divisors, whose sum is σ = 801964800. Its totient is φ = 58636800.

The previous prime is 232331987. The next prime is 232332007. The reversal of 232332000 is 233232.

232332000 is digitally balanced in base 2 and base 3, because in such bases 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (232332007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227491 + ... + 228509.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2232332000 is an apocalyptic number.

232332000 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 232332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

232332000 is an abundant number, since it is smaller than the sum of its proper divisors (569632800).

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

232332000 is a wasteful number, since it uses less digits than its factorization.

232332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1048 counting only the distinct ones).

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

The square root of 232332000 is about 15242.4407494338. The cubic root of 232332000 is about 614.7563315212.

Adding to 232332000 its reverse (233232), we get a palindrome (232565232).

The spelling of 232332000 in words is "two hundred thirty-two million, three hundred thirty-two thousand".