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2022160140 = 22345711132943
BaseRepresentation
bin111100010000111…
…1011011100001100
312012221001101020000
41320201323130030
513120133111030
6532353524300
7101053035420
oct17041733414
95187041200
102022160140
11948502930
12485273690
13262c35a80
141527c6b80
15bc7dd860
hex7887b70c

2022160140 has 960 divisors, whose sum is σ = 9015874560. Its totient is φ = 365783040.

The previous prime is 2022160123. The next prime is 2022160201. The reversal of 2022160140 is 410612202.

2022160140 is a `hidden beast` number, since 2 + 0 + 2 + 21 + 601 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 47026959 + ... + 47027001.

It is an arithmetic number, because the mean of its divisors is an integer number (9391536).

Almost surely, 22022160140 is an apocalyptic number.

2022160140 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 2022160140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507937280).

2022160140 is an abundant number, since it is smaller than the sum of its proper divisors (6993714420).

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

2022160140 is a wasteful number, since it uses less digits than its factorization.

2022160140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2022160140 is about 44968.4349294035. The cubic root of 2022160140 is about 1264.5573062853.

Adding to 2022160140 its reverse (410612202), we get a palindrome (2432772342).

The spelling of 2022160140 in words is "two billion, twenty-two million, one hundred sixty thousand, one hundred forty".