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2022021120 = 2113579403
BaseRepresentation
bin111100010000101…
…1001100000000000
312012220210022112010
41320201121200000
513120114133440
6532350532520
7101051616210
oct17041314000
95186708463
102022021120
11948418439
12485207140
13262bb7702
1415278c240
15bc7b2580
hex78859800

2022021120 has 192 divisors, whose sum is σ = 7393800960. Its totient is φ = 462127104.

The previous prime is 2022021077. The next prime is 2022021139. The reversal of 2022021120 is 211202202.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 2022021096 and 2022021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210339 + ... + 219741.

It is an arithmetic number, because the mean of its divisors is an integer number (38509380).

Almost surely, 22022021120 is an apocalyptic number.

2022021120 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 2022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696900480).

2022021120 is an abundant number, since it is smaller than the sum of its proper divisors (5371779840).

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

2022021120 is an equidigital number, since it uses as much as digits as its factorization.

2022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2022021120 is about 44966.8891519082. The cubic root of 2022021120 is about 1264.5283269145.

Adding to 2022021120 its reverse (211202202), we get a palindrome (2233223322).

The spelling of 2022021120 in words is "two billion, twenty-two million, twenty-one thousand, one hundred twenty".