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221873421120 = 263513219167431
BaseRepresentation
bin1100111010100010101…
…1111011101101000000
3210012200201222121101120
43032220223323231000
512113344043433440
6245532141232240
722013141651031
oct3165053735500
9705621877346
10221873421120
118610684223a
1237000b62680
1317bcbb82900
14aa4b112a88
155b888ecdd0
hex33a8afbb40

221873421120 has 672 divisors, whose sum is σ = 809634631680. Its totient is φ = 51311370240.

The previous prime is 221873421097. The next prime is 221873421169. The reversal of 221873421120 is 21124378122.

It is a congruent 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, 514787305 + ... + 514787735.

It is an arithmetic number, because the mean of its divisors is an integer number (1204813440).

Almost surely, 2221873421120 is an apocalyptic number.

221873421120 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 221873421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404817315840).

221873421120 is an abundant number, since it is smaller than the sum of its proper divisors (587761210560).

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

221873421120 is a wasteful number, since it uses less digits than its factorization.

221873421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 221873421120 its reverse (21124378122), we get a palindrome (242997799242).

The spelling of 221873421120 in words is "two hundred twenty-one billion, eight hundred seventy-three million, four hundred twenty-one thousand, one hundred twenty".