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221323230000 = 2432545346399
BaseRepresentation
bin1100111000011111100…
…1000111101100110000
3210011021101201000001200
43032013321013230300
512111232221330000
6245401404531200
721663411262215
oct3160771075460
9704241630050
10221323230000
1185954214534
1236a88850b00
1317b41ba6432
14a9d8013b0c
155b5546d500
hex3387e47b30

221323230000 has 300 divisors, whose sum is σ = 788620060800. Its totient is φ = 57904704000.

The previous prime is 221323229989. The next prime is 221323230019. The reversal of 221323230000 is 32323122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4746801 + ... + 4793199.

It is an arithmetic number, because the mean of its divisors is an integer number (2628733536).

Almost surely, 2221323230000 is an apocalyptic number.

221323230000 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 221323230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394310030400).

221323230000 is an abundant number, since it is smaller than the sum of its proper divisors (567296830800).

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

221323230000 is a wasteful number, since it uses less digits than its factorization.

221323230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46486 (or 46462 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 221323230000 its reverse (32323122), we get a palindrome (221355553122).

The spelling of 221323230000 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred thirty thousand".