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22022848512 = 2173372127
BaseRepresentation
bin10100100000101010…
…100000000000000000
32002211210212121202000
4110200222200000000
5330100322123022
614041150024000
71406514060300
oct244052400000
962753777660
1022022848512
119381362055
1243274a8000
1320cc7c1b12
1410ccc0b600
1588d6436ac
hex520aa0000

22022848512 has 432 divisors, whose sum is σ = 76503813120. Its totient is φ = 6242697216.

The previous prime is 22022848493. The next prime is 22022848517. The reversal of 22022848512 is 21584822022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×220228485122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22022848517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408193 + ... + 173408319.

It is an arithmetic number, because the mean of its divisors is an integer number (177092160).

Almost surely, 222022848512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38251906560).

22022848512 is an abundant number, since it is smaller than the sum of its proper divisors (54480964608).

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

22022848512 is an frugal number, since it uses more digits than its factorization.

22022848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 22022848512 in words is "twenty-two billion, twenty-two million, eight hundred forty-eight thousand, five hundred twelve".