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2022201312320 = 26577313988969
BaseRepresentation
bin11101011011010100100…
…101110100010001000000
321011022122200112101000202
4131123110211310101000
5231112432013443240
64144553024104332
7266046014355110
oct35332445642100
97138580471022
102022201312320
1170a679a16392
12287abb1650a8
1311890100ca77
146dc37275040
1537907124315
hex1d6d4974440

2022201312320 has 224 divisors, whose sum is σ = 5618861203200. Its totient is φ = 678901284864.

The previous prime is 2022201312289. The next prime is 2022201312353. The reversal of 2022201312320 is 232131022202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2022201312292 and 2022201312301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22684796 + ... + 22773764.

It is an arithmetic number, because the mean of its divisors is an integer number (25084201800).

Almost surely, 22022201312320 is an apocalyptic number.

2022201312320 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 2022201312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809430601600).

2022201312320 is an abundant number, since it is smaller than the sum of its proper divisors (3596659890880).

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

2022201312320 is a wasteful number, since it uses less digits than its factorization.

2022201312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89205 (or 89195 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2022201312320 its reverse (232131022202), we get a palindrome (2254332334522).

The spelling of 2022201312320 in words is "two trillion, twenty-two billion, two hundred one million, three hundred twelve thousand, three hundred twenty".