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212212102200 = 233527228722093
BaseRepresentation
bin1100010110100011010…
…0111011010000111000
3202021202102111202100220
43011220310323100320
511434102244232300
6241253333500040
721221546051340
oct3055064732070
9667672452326
10212212102200
1181aa922134a
12351654a1620
131701c3b7657
14a3b1d51d20
1557c063eda0
hex3168d3b438

212212102200 has 192 divisors, whose sum is σ = 752199951360. Its totient is φ = 48482219520.

The previous prime is 212212102199. The next prime is 212212102211. The reversal of 212212102200 is 2201212212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212212102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9594354 + ... + 9616446.

It is an arithmetic number, because the mean of its divisors is an integer number (3917708080).

Almost surely, 2212212102200 is an apocalyptic number.

212212102200 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 212212102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376099975680).

212212102200 is an abundant number, since it is smaller than the sum of its proper divisors (539987849160).

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

212212102200 is a wasteful number, since it uses less digits than its factorization.

212212102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24406 (or 24397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212212102200 its reverse (2201212212), we get a palindrome (214413314412).

The spelling of 212212102200 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand, two hundred".