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223222001220 = 22325193767113233
BaseRepresentation
bin1100111111100100010…
…0010110111001000100
3210100011201120120111200
43033321010112321010
512124124313014340
6250314034102500
722061435463321
oct3177104267104
9710151516450
10223222001220
1186739000449
123731871aa30
13180853998ba
14ab3827bb48
155c16ed7330
hex33f9116e44

223222001220 has 576 divisors, whose sum is σ = 752724161280. Its totient is φ = 53341618176.

The previous prime is 223222001141. The next prime is 223222001243. The reversal of 223222001220 is 22100222322.

223222001220 is a `hidden beast` number, since 22 + 322 + 200 + 122 + 0 = 666.

223222001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232220012203 (a number of 35 digits) contains 333 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 = 223222001193 and 223222001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 958034224 + ... + 958034456.

It is an arithmetic number, because the mean of its divisors is an integer number (1306812780).

Almost surely, 2223222001220 is an apocalyptic number.

223222001220 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 223222001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376362080640).

223222001220 is an abundant number, since it is smaller than the sum of its proper divisors (529502160060).

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

223222001220 is a wasteful number, since it uses less digits than its factorization.

223222001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 223222001220 its reverse (22100222322), we get a palindrome (245322223542).

The spelling of 223222001220 in words is "two hundred twenty-three billion, two hundred twenty-two million, one thousand, two hundred twenty".