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221630550000 = 243555979317
BaseRepresentation
bin1100111001101000110…
…1011100111111110000
3210012001210222110211220
43032122031130333300
512112344410100000
6245452103505040
722004132406666
oct3163215347760
9705053873756
10221630550000
1185aa1738602
1236b53758180
1317b90767ca2
14aa26b70c36
155b724261a0
hex339a35cff0

221630550000 has 480 divisors, whose sum is σ = 739302681600. Its totient is φ = 57183360000.

The previous prime is 221630549969. The next prime is 221630550047. The reversal of 221630550000 is 55036122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 699149842 + ... + 699150158.

It is an arithmetic number, because the mean of its divisors is an integer number (1540213920).

Almost surely, 2221630550000 is an apocalyptic number.

221630550000 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 221630550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369651340800).

221630550000 is an abundant number, since it is smaller than the sum of its proper divisors (517672131600).

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

221630550000 is an equidigital number, since it uses as much as digits as its factorization.

221630550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 221630550000 its reverse (55036122), we get a palindrome (221685586122).

The spelling of 221630550000 in words is "two hundred twenty-one billion, six hundred thirty million, five hundred fifty thousand".