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220522500000 = 253657112
BaseRepresentation
bin1100110101100000101…
…0100100111110100000
3210002012120222201000000
43031120022210332200
512103112230000000
6245150122300000
721634516215345
oct3153012447640
9702176881000
10220522500000
1185583225200
12368a4657600
1317a450291ba
14a95d9387cc
155b0a000000
hex33582a4fa0

220522500000 has 1008 divisors, whose sum is σ = 894357769032. Its totient is φ = 53460000000.

The previous prime is 220522499993. The next prime is 220522500007. The reversal of 220522500000 is 5225022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (220522499993) and next prime (220522500007).

It can be written as a sum of positive squares in 4 ways, for example, as 133017760656 + 87504739344 = 364716^2 + 295812^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220522500007) 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 167 ways as a sum of consecutive naturals, for example, 20047499995 + ... + 20047500005.

Almost surely, 2220522500000 is an apocalyptic number.

220522500000 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 220522500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447178884516).

220522500000 is an abundant number, since it is smaller than the sum of its proper divisors (673835269032).

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

220522500000 is an frugal number, since it uses more digits than its factorization.

220522500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Adding to 220522500000 its reverse (5225022), we get a palindrome (220527725022).

The spelling of 220522500000 in words is "two hundred twenty billion, five hundred twenty-two million, five hundred thousand".