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220244444420 = 2257211213142873
BaseRepresentation
bin1100110100011110010…
…1111000010100000100
3210001111012210000110012
43031013211320110010
512102030034210140
6245102350445352
721624601613600
oct3150745702404
9701435700405
10220244444420
1185450279a00
1236827503858
13179cc542880
14a934a38500
155ae08c8265
hex3347978504

220244444420 has 216 divisors, whose sum is σ = 636879142872. Its totient is φ = 63366589440.

The previous prime is 220244444383. The next prime is 220244444437. The reversal of 220244444420 is 24444442022.

It can be written as a sum of positive squares in 4 ways, for example, as 24625769476 + 195618674944 = 156926^2 + 442288^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1470104 + ... + 1612976.

Almost surely, 2220244444420 is an apocalyptic number.

220244444420 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 220244444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318439571436).

220244444420 is an abundant number, since it is smaller than the sum of its proper divisors (416634698452).

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

220244444420 is a wasteful number, since it uses less digits than its factorization.

220244444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142931 (or 142911 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 220244444420 its reverse (24444442022), we get a palindrome (244688886442).

The spelling of 220244444420 in words is "two hundred twenty billion, two hundred forty-four million, four hundred forty-four thousand, four hundred twenty".