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2022120000 = 26325441137
BaseRepresentation
bin111100010000111…
…0001101001000000
312012220222100011100
41320201301221000
513120130320000
6532353014400
7101052510405
oct17041615100
95186870140
102022120000
1194848575a
12485254400
13262c20714
141527b62ac
15bc7d1a00
hex78871a40

2022120000 has 420 divisors, whose sum is σ = 7473542076. Its totient is φ = 522240000.

The previous prime is 2022119969. The next prime is 2022120007. The reversal of 2022120000 is 212202.

It can be written as a sum of positive squares in 10 ways, for example, as 1884949056 + 137170944 = 43416^2 + 11712^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2022120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14759932 + ... + 14760068.

Almost surely, 22022120000 is an apocalyptic number.

2022120000 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 2022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736771038).

2022120000 is an abundant number, since it is smaller than the sum of its proper divisors (5451422076).

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

2022120000 is a wasteful number, since it uses less digits than its factorization.

2022120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022120000 is about 44967.9886141242. The cubic root of 2022120000 is about 1264.5489390505.

Adding to 2022120000 its reverse (212202), we get a palindrome (2022332202).

The spelling of 2022120000 in words is "two billion, twenty-two million, one hundred twenty thousand".