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20220240000 = 27354173487
BaseRepresentation
bin10010110101001110…
…000110000010000000
31221012011221121201210
4102311032012002000
5312402340140000
613142233530120
71314035130012
oct226516060200
957164847653
1020220240000
118636886654
123b03873940
131ba31ca66c
14d9b6561b2
157d5272350
hex4b5386080

20220240000 has 320 divisors, whose sum is σ = 67642597440. Its totient is φ = 5349888000.

The previous prime is 20220239999. The next prime is 20220240013. The reversal of 20220240000 is 4202202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41519757 + ... + 41520243.

It is an arithmetic number, because the mean of its divisors is an integer number (211383117).

Almost surely, 220220240000 is an apocalyptic number.

20220240000 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 20220240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33821298720).

20220240000 is an abundant number, since it is smaller than the sum of its proper divisors (47422357440).

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

20220240000 is an equidigital number, since it uses as much as digits as its factorization.

20220240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20220240000 its reverse (4202202), we get a palindrome (20224442202).

The spelling of 20220240000 in words is "twenty billion, two hundred twenty million, two hundred forty thousand".