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22123946880 = 2733572172953
BaseRepresentation
bin10100100110101100…
…001010001110000000
32010002212002221122000
4110212230022032000
5330302212300010
614055200544000
71412152305600
oct244654121600
963085087560
1022123946880
119423433822
124355322000
13211772b539
1410dc406c00
158974637c0
hex526b0a380

22123946880 has 1536 divisors, whose sum is σ = 101721744000. Its totient is φ = 4508614656.

The previous prime is 22123946869. The next prime is 22123946881. The reversal of 22123946880 is 8864932122.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123946881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417432934 + ... + 417432986.

Almost surely, 222123946880 is an apocalyptic number.

22123946880 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 22123946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50860872000).

22123946880 is an abundant number, since it is smaller than the sum of its proper divisors (79597797120).

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

22123946880 is a wasteful number, since it uses less digits than its factorization.

22123946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22123946880 in words is "twenty-two billion, one hundred twenty-three million, nine hundred forty-six thousand, eight hundred eighty".