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222004020 = 223571723159
BaseRepresentation
bin11010011101110…
…00001100110100
3120110201222021010
431032320030310
5423313112040
634010152220
75334001020
oct1516701464
9513658233
10222004020
111043519a7
1262422670
1336cbc934
14216ad380
1514753e80
hexd3b8334

222004020 has 288 divisors, whose sum is σ = 792207360. Its totient is φ = 45434880.

The previous prime is 222003953. The next prime is 222004021. The reversal of 222004020 is 20400222.

It is a happy number.

222004020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222003987 and 222004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222004021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3762751 + ... + 3762809.

It is an arithmetic number, because the mean of its divisors is an integer number (2750720).

Almost surely, 2222004020 is an apocalyptic number.

222004020 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 222004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396103680).

222004020 is an abundant number, since it is smaller than the sum of its proper divisors (570203340).

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

222004020 is a wasteful number, since it uses less digits than its factorization.

222004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222004020 is about 14899.7993275077. The cubic root of 222004020 is about 605.5085494784.

Adding to 222004020 its reverse (20400222), we get a palindrome (242404242).

The spelling of 222004020 in words is "two hundred twenty-two million, four thousand, twenty".