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212303302200 = 2332521116996311
BaseRepresentation
bin1100010110111001000…
…0110100111000111000
3202021222210010012020200
43011232100310320320
511434244121132300
6241310352322200
721224034202503
oct3055620647070
9667883105220
10212303302200
1182045752250
123518bb43360
1317035269852
14a3c00d213a
1557c8657200
hex316e434e38

212303302200 has 288 divisors, whose sum is σ = 778383216000. Its totient is φ = 51429024000.

The previous prime is 212303302181. The next prime is 212303302217. The reversal of 212303302200 is 2203303212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33637045 + ... + 33643355.

It is an arithmetic number, because the mean of its divisors is an integer number (2702719500).

Almost surely, 2212303302200 is an apocalyptic number.

212303302200 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 212303302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389191608000).

212303302200 is an abundant number, since it is smaller than the sum of its proper divisors (566079913800).

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

212303302200 is a wasteful number, since it uses less digits than its factorization.

212303302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8031 counting only the distinct ones).

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

Adding to 212303302200 its reverse (2203303212), we get a palindrome (214506605412).

The spelling of 212303302200 in words is "two hundred twelve billion, three hundred three million, three hundred two thousand, two hundred".