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232230141000 = 2332531113199497
BaseRepresentation
bin1101100001000111111…
…1101011110001001000
3211012102111222111012100
43120101333223301020
512301101404003000
6254403545513400
722530610425444
oct3302177536110
9735374874170
10232230141000
118a540951170
12390114a2860
1318b8c739b20
14b3507b1824
156092c70a00
hex3611febc48

232230141000 has 768 divisors, whose sum is σ = 970801977600. Its totient is φ = 49227264000.

The previous prime is 232230140999. The next prime is 232230141007. The reversal of 232230141000 is 141032232.

232230141000 is a `hidden beast` number, since 2 + 322 + 301 + 41 + 0 + 0 + 0 = 666.

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 (232230141007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24448252 + ... + 24457748.

It is an arithmetic number, because the mean of its divisors is an integer number (1264065075).

Almost surely, 2232230141000 is an apocalyptic number.

232230141000 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 232230141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485400988800).

232230141000 is an abundant number, since it is smaller than the sum of its proper divisors (738571836600).

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

232230141000 is a wasteful number, since it uses less digits than its factorization.

232230141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232230141000 its reverse (141032232), we get a palindrome (232371173232).

The spelling of 232230141000 in words is "two hundred thirty-two billion, two hundred thirty million, one hundred forty-one thousand".