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22020211125 = 33531129113181
BaseRepresentation
bin10100100000100000…
…011100000110110101
32002211121220121221000
4110200200130012311
5330044133224000
614041013313513
71406452464153
oct244040340665
962747817830
1022020211125
11937a9205a0
124326635899
1320cc0aa533
1410cc7223d3
1588d2c2000
hex52081c1b5

22020211125 has 256 divisors, whose sum is σ = 46608307200. Its totient is φ = 10160640000.

The previous prime is 22020211111. The next prime is 22020211127. The reversal of 22020211125 is 52111202022.

22020211125 = T396 + T397 + ... + T5093.

It is not a de Polignac number, because 22020211125 - 29 = 22020210613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22020211098 and 22020211107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 121658535 + ... + 121658715.

It is an arithmetic number, because the mean of its divisors is an integer number (182063700).

Almost surely, 222020211125 is an apocalyptic number.

22020211125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22020211125 is an abundant number, since it is smaller than the sum of its proper divisors (24588096075).

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

22020211125 is a wasteful number, since it uses less digits than its factorization.

22020211125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22020211125 its reverse (52111202022), we get a palindrome (74131413147).

The spelling of 22020211125 in words is "twenty-two billion, twenty million, two hundred eleven thousand, one hundred twenty-five".