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20227366656 = 2835746451
BaseRepresentation
bin10010110101101001…
…010001111100000000
31221012200100200200000
4102311221101330000
5312411201213111
613143050400000
71314152531310
oct226551217400
957180320600
1020227366656
11863a903a52
123b06130000
131ba4824413
14d9c58d440
157d5bcdc56
hex4b5a51f00

20227366656 has 216 divisors, whose sum is σ = 69122062464. Its totient is φ = 5779123200.

The previous prime is 20227366651. The next prime is 20227366661. The reversal of 20227366656 is 65666372202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20227366651) and next prime (20227366661).

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20227366651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412231 + ... + 458681.

Almost surely, 220227366656 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 20227366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561031232).

20227366656 is an abundant number, since it is smaller than the sum of its proper divisors (48894695808).

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

20227366656 is an frugal number, since it uses more digits than its factorization.

20227366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46489 (or 46463 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 20227366656 in words is "twenty billion, two hundred twenty-seven million, three hundred sixty-six thousand, six hundred fifty-six".