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22550355072 = 273372375961
BaseRepresentation
bin10101000000000110…
…110001110010000000
32011012120110201201000
4111000012301302000
5332140342330242
614205352212000
71425550566300
oct250006616200
964176421630
1022550355072
1196220a6593
12445409a000
132184b87c8b
14113ccc3600
158beae1a4c
hex5401b1c80

22550355072 has 768 divisors, whose sum is σ = 82186704000. Its totient is φ = 6061547520.

The previous prime is 22550355049. The next prime is 22550355089. The reversal of 22550355072 is 27055305522.

22550355072 is a `hidden beast` number, since 2 + 2 + 550 + 35 + 5 + 0 + 72 = 666.

It is a super-2 number, since 2×225503550722 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 369677922 + ... + 369677982.

Almost surely, 222550355072 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 22550355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41093352000).

22550355072 is an abundant number, since it is smaller than the sum of its proper divisors (59636348928).

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

22550355072 is a wasteful number, since it uses less digits than its factorization.

22550355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 22550355072 in words is "twenty-two billion, five hundred fifty million, three hundred fifty-five thousand, seventy-two".