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220222121112 = 233371672233911
BaseRepresentation
bin1100110100011001000…
…0101110010010011000
3210001102122202212122000
43031012100232102120
512102003330333422
6245100232201000
721624211100220
oct3150620562230
9701378685560
10220222121112
1185439712094
123681bb39160
13179c7a27b06
14a931aa7080
155add968cac
hex334642e498

220222121112 has 256 divisors, whose sum is σ = 706638643200. Its totient is φ = 62247450240.

The previous prime is 220222121101. The next prime is 220222121131. The reversal of 220222121112 is 211121222022.

It is a happy number.

220222121112 is a `hidden beast` number, since 220 + 2 + 221 + 211 + 12 = 666.

It is a super-2 number, since 2×2202221211122 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56306437 + ... + 56310347.

It is an arithmetic number, because the mean of its divisors is an integer number (2760307200).

Almost surely, 2220222121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220222121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353319321600).

220222121112 is an abundant number, since it is smaller than the sum of its proper divisors (486416522088).

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

220222121112 is a wasteful number, since it uses less digits than its factorization.

220222121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220222121112 its reverse (211121222022), we get a palindrome (431343343134).

The spelling of 220222121112 in words is "two hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".