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221223130000 = 2454311096547
BaseRepresentation
bin1100111000000111101…
…1010001001110010000
3210011000102100101200021
43032001323101032100
512111031110130000
6245343431233224
721661054402405
oct3160173211620
9704012311607
10221223130000
1185902764964
1236a5b218814
1317b27229272
14a9c89d82ac
155b4b79911a
hex3381ed1390

221223130000 has 200 divisors, whose sum is σ = 558038370560. Its totient is φ = 84836160000.

The previous prime is 221223129961. The next prime is 221223130003. The reversal of 221223130000 is 31322122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221223130003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 33786727 + ... + 33793273.

Almost surely, 2221223130000 is an apocalyptic number.

221223130000 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 221223130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279019185280).

221223130000 is an abundant number, since it is smaller than the sum of its proper divisors (336815240560).

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

221223130000 is a wasteful number, since it uses less digits than its factorization.

221223130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221223130000 its reverse (31322122), we get a palindrome (221254452122).

The spelling of 221223130000 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty thousand".