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2998228992 = 211311237109
BaseRepresentation
bin1011001010110101…
…0101100000000000
321201221200210222020
42302231111200000
522120021311432
61213302241440
7134204345253
oct26255254000
97657623866
102998228992
1112a9470900
126b8126280
1338a2143c5
142062a509a
1512834422c
hexb2b55800

2998228992 has 288 divisors, whose sum is σ = 9106297200. Its totient is φ = 875888640.

The previous prime is 2998228991. The next prime is 2998228993.

2998228992 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2998228991) and next prime (2998228993).

Its product of digits (6718464) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2998228991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27506634 + ... + 27506742.

Almost surely, 22998228992 is an apocalyptic number.

2998228992 is a gapful number since it is divisible by the number (22) 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 2998228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553148600).

2998228992 is an abundant number, since it is smaller than the sum of its proper divisors (6108068208).

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

2998228992 is a wasteful number, since it uses less digits than its factorization.

2998228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 2998228992 is about 54756.0863466336. The cubic root of 2998228992 is about 1441.9657104951.

The spelling of 2998228992 in words is "two billion, nine hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred ninety-two".