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20221222220000 = 255417591008037
BaseRepresentation
bin1001001100100000111101…
…10001000111000011100000
32122121010111202002200001022
410212100132301013003200
510122301030342020000
6111001300134025012
74154635510614254
oct446203661070340
978533452080038
1020221222220000
11649685486022a
1223270124a8168
13b38b12281a29
144dc9d8a9a264
15251001500585
hex12641ec470e0

20221222220000 has 240 divisors, whose sum is σ = 53566373211120. Its totient is φ = 7483659264000.

The previous prime is 20221222219927. The next prime is 20221222220021. The reversal of 20221222220000 is 2222212202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 19555982 + ... + 20564018.

It is an arithmetic number, because the mean of its divisors is an integer number (223193221713).

Almost surely, 220221222220000 is an apocalyptic number.

20221222220000 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 20221222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26783186605560).

20221222220000 is an abundant number, since it is smaller than the sum of its proper divisors (33345150991120).

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

20221222220000 is a wasteful number, since it uses less digits than its factorization.

20221222220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008143 (or 1008120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20221222220000 its reverse (2222212202), we get a palindrome (20223444432202).

The spelling of 20221222220000 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty thousand".