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221212211000200 = 235272331931123801
BaseRepresentation
bin110010010011000011111011…
…010000011011001110001000
31002000020200101022221202102021
4302103003323100123032020
5212443320102004001300
62102251253052214224
764411024544000230
oct6223037320331610
91060220338852367
10221212211000200
1164537632134682
12209884a9a6a374
1396582b692b304
143c8aa2a030cc0
151a89385b5ed1a
hexc930fb41b388

221212211000200 has 384 divisors, whose sum is σ = 633228682199040. Its totient is φ = 70195910400000.

The previous prime is 221212211000189. The next prime is 221212211000251. The reversal of 221212211000200 is 2000112212122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9294228300 + ... + 9294252100.

It is an arithmetic number, because the mean of its divisors is an integer number (1649033026560).

Almost surely, 2221212211000200 is an apocalyptic number.

221212211000200 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 221212211000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316614341099520).

221212211000200 is an abundant number, since it is smaller than the sum of its proper divisors (412016471198840).

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

221212211000200 is a wasteful number, since it uses less digits than its factorization.

221212211000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33189 (or 33180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221212211000200 its reverse (2000112212122), we get a palindrome (223212323212322).

The spelling of 221212211000200 in words is "two hundred twenty-one trillion, two hundred twelve billion, two hundred eleven million, two hundred", and thus it is an aban number.