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22010223202020 = 2232567237337297
BaseRepresentation
bin1010000000100101001111…
…00010010000111011100100
32212221011020022001211100200
411000102213202100323210
510341103414114431040
6114451205033510500
74431120564222444
oct500224742207344
985834208054320
1022010223202020
117016535212909
12257588b272430
13c3872a854571
1456142c772124
1528280a610630
hex1404a7890ee4

22010223202020 has 216 divisors, whose sum is σ = 67803145805304. Its totient is φ = 5779449004032.

The previous prime is 22010223201991. The next prime is 22010223202063. The reversal of 22010223202020 is 2020232201022.

22010223202020 is a `hidden beast` number, since 220 + 1 + 0 + 223 + 20 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1506280017636 + 20503943184384 = 1227306^2 + 4528128^2 .

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 = 22010223201984 and 22010223202002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3016335012 + ... + 3016342308.

Almost surely, 222010223202020 is an apocalyptic number.

22010223202020 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 22010223202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33901572902652).

22010223202020 is an abundant number, since it is smaller than the sum of its proper divisors (45792922603284).

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

22010223202020 is a wasteful number, since it uses less digits than its factorization.

22010223202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22010223202020 its reverse (2020232201022), we get a palindrome (24030455403042).

The spelling of 22010223202020 in words is "twenty-two trillion, ten billion, two hundred twenty-three million, two hundred two thousand, twenty".