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220327230000 = 24354193137337
BaseRepresentation
bin1100110100110010000…
…1101011101000110000
3210001200222112221220210
43031030201223220300
512102212232330000
6245114505104120
721626625361143
oct3151441535060
9701628487823
10220327230000
1185492a82a39
123684b188040
1317a13739b17
14a941a2805a
155ae7ccc350
hex334c86ba30

220327230000 has 800 divisors, whose sum is σ = 796073175040. Its totient is φ = 52254720000.

The previous prime is 220327229987. The next prime is 220327230043. The reversal of 220327230000 is 32723022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 653789832 + ... + 653790168.

Almost surely, 2220327230000 is an apocalyptic number.

220327230000 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 220327230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398036587520).

220327230000 is an abundant number, since it is smaller than the sum of its proper divisors (575745945040).

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

220327230000 is a wasteful number, since it uses less digits than its factorization.

220327230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

Adding to 220327230000 its reverse (32723022), we get a palindrome (220359953022).

The spelling of 220327230000 in words is "two hundred twenty billion, three hundred twenty-seven million, two hundred thirty thousand".