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221210022000 = 24353112535749
BaseRepresentation
bin1100111000000100100…
…1010001000001110000
3210010222111200102212210
43032001021101001300
512111014231201000
6245342242252120
721660535106562
oct3160111210160
9703874612783
10221210022000
11858a6321700
1236a56957040
1317b245b9b56
14a9c6d85332
155b4a55a350
hex3381251070

221210022000 has 480 divisors, whose sum is σ = 798839496000. Its totient is φ = 52605696000.

The previous prime is 221210021993. The next prime is 221210022001. The reversal of 221210022000 is 220012122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38475126 + ... + 38480874.

It is an arithmetic number, because the mean of its divisors is an integer number (1664248950).

Almost surely, 2221210022000 is an apocalyptic number.

221210022000 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 221210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399419748000).

221210022000 is an abundant number, since it is smaller than the sum of its proper divisors (577629474000).

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

221210022000 is a wasteful number, since it uses less digits than its factorization.

221210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221210022000 its reverse (220012122), we get a palindrome (221430034122).

The spelling of 221210022000 in words is "two hundred twenty-one billion, two hundred ten million, twenty-two thousand".