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213230023200 = 2532521937103409
BaseRepresentation
bin1100011010010101111…
…1111111001000100000
3202101101100220111110200
43012211133333020200
511443143341220300
6241542335225200
721256016202135
oct3064537771040
9671340814420
10213230023200
1182480875477
12353aa378200
131715225a87c
14a46b20658c
15582ebb1200
hex31a57ff220

213230023200 has 864 divisors, whose sum is σ = 822766089600. Its totient is φ = 51776962560.

The previous prime is 213230023081. The next prime is 213230023243. The reversal of 213230023200 is 2320032312.

It is a happy number.

213230023200 is a `hidden beast` number, since 2 + 132 + 300 + 232 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 521344596 + ... + 521345004.

Almost surely, 2213230023200 is an apocalyptic number.

213230023200 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 213230023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411383044800).

213230023200 is an abundant number, since it is smaller than the sum of its proper divisors (609536066400).

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

213230023200 is a wasteful number, since it uses less digits than its factorization.

213230023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 578 counting only the distinct ones).

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

Adding to 213230023200 its reverse (2320032312), we get a palindrome (215550055512).

The spelling of 213230023200 in words is "two hundred thirteen billion, two hundred thirty million, twenty-three thousand, two hundred".