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20222208000 = 211325367131
BaseRepresentation
bin10010110101010101…
…100110100000000000
31221012022122121022200
4102311111212200000
5312403341124000
613142344033200
71314060634431
oct226525464000
957168577280
1020222208000
118637a001a5
123b04462800
131ba3739367
14d9ba09488
157d5510500
hex4b5566800

20222208000 has 576 divisors, whose sum is σ = 74542628160. Its totient is φ = 5271552000.

The previous prime is 20222207989. The next prime is 20222208037. The reversal of 20222208000 is 80222202.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 154367935 + ... + 154368065.

It is an arithmetic number, because the mean of its divisors is an integer number (129414285).

Almost surely, 220222208000 is an apocalyptic number.

20222208000 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 20222208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37271314080).

20222208000 is an abundant number, since it is smaller than the sum of its proper divisors (54320420160).

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

20222208000 is a wasteful number, since it uses less digits than its factorization.

20222208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 20222208000 in words is "twenty billion, two hundred twenty-two million, two hundred eight thousand".