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300220212200 = 235219412431093
BaseRepresentation
bin1000101111001101000…
…01001110001111101000
31001200220212021222002112
410113212201032033220
514404322333242300
6345530321021452
730455510461406
oct4274641161750
91050825258075
10300220212200
11106360534a57
124a227184888
1322406641a9c
14107604a6476
157c21babe35
hex45e684e3e8

300220212200 has 288 divisors, whose sum is σ = 771326450400. Its totient is φ = 108312422400.

The previous prime is 300220212151. The next prime is 300220212217. The reversal of 300220212200 is 2212022003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274674854 + ... + 274675946.

Almost surely, 2300220212200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300220212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385663225200).

300220212200 is an abundant number, since it is smaller than the sum of its proper divisors (471106238200).

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

300220212200 is a wasteful number, since it uses less digits than its factorization.

300220212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 300220212200 its reverse (2212022003), we get a palindrome (302432234203).

The spelling of 300220212200 in words is "three hundred billion, two hundred twenty million, two hundred twelve thousand, two hundred".