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400200012102222 = 2322961221322692503
BaseRepresentation
bin101101011111110101101001…
…1100011110111101001001110
31221110222202011221022122202200
41122333223103203313221032
5404423334111044232342
63535053203020302330
7150203332242512643
oct13277532343675116
91843882157278680
10400200012102222
11106574965703432
1238a7553a3a19a6
131423c9122165b7
1470b7ad9199dca
1531401c269394c
hex16bfad38f7a4e

400200012102222 has 192 divisors, whose sum is σ = 912883483324800. Its totient is φ = 126524902210560.

The previous prime is 400200012102197. The next prime is 400200012102259. The reversal of 400200012102222 is 222201210002004.

400200012102222 is a `hidden beast` number, since 400 + 20 + 0 + 0 + 1 + 21 + 0 + 2 + 222 = 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 = 400200012102195 and 400200012102204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159888137823 + ... + 159888140325.

It is an arithmetic number, because the mean of its divisors is an integer number (4754601475650).

Almost surely, 2400200012102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400200012102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456441741662400).

400200012102222 is an abundant number, since it is smaller than the sum of its proper divisors (512683471222578).

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

400200012102222 is a wasteful number, since it uses less digits than its factorization.

400200012102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400200012102222 its reverse (222201210002004), we get a palindrome (622401222104226).

The spelling of 400200012102222 in words is "four hundred trillion, two hundred billion, twelve million, one hundred two thousand, two hundred twenty-two".