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22012220100222 = 2321134397220279
BaseRepresentation
bin1010000000101000111101…
…00011110100111001111110
32212221100101110120202201100
411000110132203310321332
510341122011321201342
6114452135130153530
74431221222455212
oct500243643647176
985840343522640
1022012220100222
11701736a431000
122576147b828a6
13c38988483b31
1456157ba60942
152828c5aade4c
hex14051e8f4e7e

22012220100222 has 192 divisors, whose sum is σ = 54232484866560. Its totient is φ = 6448048104960.

The previous prime is 22012220100197. The next prime is 22012220100229. The reversal of 22012220100222 is 22200102221022.

22012220100222 is a `hidden beast` number, since 220 + 1 + 2 + 220 + 1 + 0 + 0 + 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 = 22012220100195 and 22012220100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012220100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99818679 + ... + 100038957.

It is an arithmetic number, because the mean of its divisors is an integer number (282460858680).

Almost surely, 222012220100222 is an apocalyptic number.

22012220100222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012220100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27116242433280).

22012220100222 is an abundant number, since it is smaller than the sum of its proper divisors (32220264766338).

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

22012220100222 is a wasteful number, since it uses less digits than its factorization.

22012220100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220460 (or 220435 counting only the distinct ones).

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

Adding to 22012220100222 its reverse (22200102221022), we get a palindrome (44212322321244).

The spelling of 22012220100222 in words is "twenty-two trillion, twelve billion, two hundred twenty million, one hundred thousand, two hundred twenty-two".