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222212012220 = 22325112937104593
BaseRepresentation
bin1100111011110011011…
…1100011100010111100
3210020120100002211001200
43032330313203202330
512120042233342340
6250025514335500
722024422640062
oct3167467434274
9706510084050
10222212012220
118626a9847a0
123709642a590
1317c54072b83
14aa80090032
155ba84d1330
hex33bcde38bc

222212012220 has 288 divisors, whose sum is σ = 781241872320. Its totient is φ = 50605793280.

The previous prime is 222212012219. The next prime is 222212012227. The reversal of 222212012220 is 22210212222.

222212012220 is a `hidden beast` number, since 22 + 221 + 201 + 2 + 220 = 666.

It is a super-2 number, since 2×2222120122202 (a number of 23 digits) contains 22 as substring.

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 = 222212012193 and 222212012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222212012227) 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, 2072244 + ... + 2176836.

It is an arithmetic number, because the mean of its divisors is an integer number (2712645390).

Almost surely, 2222212012220 is an apocalyptic number.

222212012220 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 222212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390620936160).

222212012220 is an abundant number, since it is smaller than the sum of its proper divisors (559029860100).

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

222212012220 is a wasteful number, since it uses less digits than its factorization.

222212012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104685 (or 104680 counting only the distinct ones).

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

Adding to 222212012220 its reverse (22210212222), we get a palindrome (244422224442).

The spelling of 222212012220 in words is "two hundred twenty-two billion, two hundred twelve million, twelve thousand, two hundred twenty".