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20222400000 = 2935511383
BaseRepresentation
bin10010110101010110…
…010101011000000000
31221012100000100200210
4102311112111120000
5312403413300000
613142352114120
71314062364255
oct226526253000
957170010623
1020222400000
118638021480
123b04535940
131ba37a587a
14d9ba5942c
157d554c350
hex4b5595600

20222400000 has 480 divisors, whose sum is σ = 73651286016. Its totient is φ = 4889600000.

The previous prime is 20222399971. The next prime is 20222400007. The reversal of 20222400000 is 422202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52799809 + ... + 52800191.

Almost surely, 220222400000 is an apocalyptic number.

20222400000 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 20222400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36825643008).

20222400000 is an abundant number, since it is smaller than the sum of its proper divisors (53428886016).

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

20222400000 is an frugal number, since it uses more digits than its factorization.

20222400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 404 counting only the distinct ones).

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

Adding to 20222400000 its reverse (422202), we get a palindrome (20222822202).

The spelling of 20222400000 in words is "twenty billion, two hundred twenty-two million, four hundred thousand".