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22016484672 = 2637132354787
BaseRepresentation
bin10100100000010010…
…001110010101000000
32002211100220022012020
4110200102032111000
5330042210002142
614040401401440
71406406013650
oct244022162500
962740808166
1022016484672
119378805886
124325339280
1320cb3a4330
1410cc032360
1588ccd7cec
hex52048e540

22016484672 has 224 divisors, whose sum is σ = 74813233152. Its totient is φ = 5553985536.

The previous prime is 22016484629. The next prime is 22016484689. The reversal of 22016484672 is 27648461022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 374463 + ... + 429249.

It is an arithmetic number, because the mean of its divisors is an integer number (333987648).

Almost surely, 222016484672 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 22016484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37406616576).

22016484672 is an abundant number, since it is smaller than the sum of its proper divisors (52796748480).

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

22016484672 is a wasteful number, since it uses less digits than its factorization.

22016484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845 (or 54835 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 22016484672 in words is "twenty-two billion, sixteen million, four hundred eighty-four thousand, six hundred seventy-two".