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20322322020 = 223257111343261
BaseRepresentation
bin10010111011010011…
…100000011001100100
31221110022000220221100
4102323103200121210
5313110003301040
613200321520100
71316414613150
oct227323403144
957408026840
1020322322020
11868946a360
123b31aa3030
131bbb3bca20
14dab02a060
157de1d8b30
hex4bb4e0664

20322322020 has 864 divisors, whose sum is σ = 86125987584. Its totient is φ = 3744921600.

The previous prime is 20322321973. The next prime is 20322322049. The reversal of 20322322020 is 2022322302.

20322322020 is a `hidden beast` number, since 2 + 0 + 322 + 322 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20322321984 and 20322322002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 333152790 + ... + 333152850.

It is an arithmetic number, because the mean of its divisors is an integer number (99682856).

Almost surely, 220322322020 is an apocalyptic number.

20322322020 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 20322322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43062993792).

20322322020 is an abundant number, since it is smaller than the sum of its proper divisors (65803665564).

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

20322322020 is a wasteful number, since it uses less digits than its factorization.

20322322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20322322020 its reverse (2022322302), we get a palindrome (22344644322).

The spelling of 20322322020 in words is "twenty billion, three hundred twenty-two million, three hundred twenty-two thousand, twenty".