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20220548832 = 2533117512833
BaseRepresentation
bin10010110101001111…
…010001011011100000
31221012012112022101000
4102311033101123200
5312402430030312
613142244312000
71314040554261
oct226517213340
957165468330
1020220548832
118636a77690
123b039a2600
131ba32a80c3
14d9b6d6968
157d52d3adc
hex4b53d16e0

20220548832 has 192 divisors, whose sum is σ = 64446520320. Its totient is φ = 6117120000.

The previous prime is 20220548813. The next prime is 20220548837. The reversal of 20220548832 is 23884502202.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220548837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7136088 + ... + 7138920.

It is an arithmetic number, because the mean of its divisors is an integer number (335658960).

Almost surely, 220220548832 is an apocalyptic number.

20220548832 is a gapful number since it is divisible by the number (22) 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 20220548832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223260160).

20220548832 is an abundant number, since it is smaller than the sum of its proper divisors (44225971488).

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

20220548832 is a wasteful number, since it uses less digits than its factorization.

20220548832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20220548832 in words is "twenty billion, two hundred twenty million, five hundred forty-eight thousand, eight hundred thirty-two".