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232230213000 = 2333539978627
BaseRepresentation
bin1101100001000111111…
…1111101010110001000
3211012102112010010222000
43120101333331112020
512301101413304000
6254403551231000
722530611145402
oct3302177752610
9735375103860
10232230213000
118a5409a0275
1239011518460
1318b8c763826
14b3507cdb72
156092c87000
hex3611ffd588

232230213000 has 256 divisors, whose sum is σ = 805965638400. Its totient is φ = 61858771200.

The previous prime is 232230212999. The next prime is 232230213001. The reversal of 232230213000 is 312032232.

It is a happy number.

232230213000 is a `hidden beast` number, since 232 + 2 + 302 + 130 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232230212999) and next prime (232230213001).

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 (232230213001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26914687 + ... + 26923313.

It is an arithmetic number, because the mean of its divisors is an integer number (3148303275).

Almost surely, 2232230213000 is an apocalyptic number.

232230213000 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 232230213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402982819200).

232230213000 is an abundant number, since it is smaller than the sum of its proper divisors (573735425400).

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

232230213000 is a wasteful number, since it uses less digits than its factorization.

232230213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232230213000 its reverse (312032232), we get a palindrome (232542245232).

The spelling of 232230213000 in words is "two hundred thirty-two billion, two hundred thirty million, two hundred thirteen thousand".