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21222944288 = 25721322832
BaseRepresentation
bin10011110000111111…
…000110111000100000
32000210001201021102122
4103300333012320200
5321431033204123
613425533203412
71350632023100
oct236077067040
960701637378
1021222944288
119000887187
124143630568
132002b73700
1410548a9200
158432d9bc8
hex4f0fc6e20

21222944288 has 162 divisors, whose sum is σ = 52817358069. Its totient is φ = 8366222592.

The previous prime is 21222944287. The next prime is 21222944291. The reversal of 21222944288 is 88244922212.

It is a happy number.

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 can be written as a sum of positive squares in 2 ways, for example, as 18146245264 + 3076699024 = 134708^2 + 55468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=103012.

It is not an unprimeable number, because it can be changed into a prime (21222944287) 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 26 ways as a sum of consecutive naturals, for example, 74992595 + ... + 74992877.

Almost surely, 221222944288 is an apocalyptic number.

21222944288 is a gapful number since it is divisible by the number (28) 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 21222944288

21222944288 is an abundant number, since it is smaller than the sum of its proper divisors (31594413781).

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

21222944288 is an equidigital number, since it uses as much as digits as its factorization.

21222944288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 305 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The spelling of 21222944288 in words is "twenty-one billion, two hundred twenty-two million, nine hundred forty-four thousand, two hundred eighty-eight".