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220221121000 = 2353347634643
BaseRepresentation
bin1100110100011000110…
…0111010000111101000
3210001102120220001201211
43031012030322013220
512102003101333000
6245100154522504
721624166433356
oct3150614720750
9701376801654
10220221121000
1185439099751
123681b736434
13179c776782a
14a9318c67d6
155add81c7ba
hex334633a1e8

220221121000 has 64 divisors (see below), whose sum is σ = 516803302080. Its totient is φ = 87834452800.

The previous prime is 220221120989. The next prime is 220221121031. The reversal of 220221121000 is 121122022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29679 + ... + 664321.

It is an arithmetic number, because the mean of its divisors is an integer number (8075051595).

Almost surely, 2220221121000 is an apocalyptic number.

220221121000 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 220221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258401651040).

220221121000 is an abundant number, since it is smaller than the sum of its proper divisors (296582181080).

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

220221121000 is a wasteful number, since it uses less digits than its factorization.

220221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635011 (or 634997 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220221121000 its reverse (121122022), we get a palindrome (220342243022).

The spelling of 220221121000 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 347 500 694 1000 1388 1735 2776 3470 6940 8675 13880 17350 34700 43375 69400 86750 173500 347000 634643 1269286 2538572 3173215 5077144 6346430 12692860 15866075 25385720 31732150 63464300 79330375 126928600 158660750 220221121 317321500 440442242 634643000 880884484 1101105605 1761768968 2202211210 4404422420 5505528025 8808844840 11011056050 22022112100 27527640125 44044224200 55055280250 110110560500 220221121000