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22198914048 = 210323417997
BaseRepresentation
bin10100101011001010…
…001000110000000000
32010022002011200020210
4110223022020300000
5330430410222143
614110435434120
71414052441013
oct245312106000
963262150223
1022198914048
119461787763
124376455940
13212a118bcc
14110835d37a
1589dd21033
hex52b288c00

22198914048 has 352 divisors, whose sum is σ = 64707471360. Its totient is φ = 6747586560.

The previous prime is 22198914037. The next prime is 22198914061. The reversal of 22198914048 is 84041989122.

It is a Cunningham number, because it is equal to 1489932-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 22198913988 and 22198914006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228854736 + ... + 228854832.

Almost surely, 222198914048 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 22198914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353735680).

22198914048 is an abundant number, since it is smaller than the sum of its proper divisors (42508557312).

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

22198914048 is a wasteful number, since it uses less digits than its factorization.

22198914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 22198914048 in words is "twenty-two billion, one hundred ninety-eight million, nine hundred fourteen thousand, forty-eight".