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222212010020 = 2257211132371971
BaseRepresentation
bin1100111011110011011…
…1100011000000100100
3210020120100002201001012
43032330313203000210
512120042233310040
6250025514321352
722024422630500
oct3167467430044
9706510081035
10222212010020
118626a983080
1237096429258
1317c54071b80
14aa8008d300
155ba84d0865
hex33bcde3024

222212010020 has 576 divisors, whose sum is σ = 675528118272. Its totient is φ = 60230016000.

The previous prime is 222212010017. The next prime is 222212010071. The reversal of 222212010020 is 20010212222.

222212010020 is digitally balanced in base 2, because in such base 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 222212009977 and 222212010004.

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, 228848135 + ... + 228849105.

It is an arithmetic number, because the mean of its divisors is an integer number (1172791872).

Almost surely, 2222212010020 is an apocalyptic number.

222212010020 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 222212010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337764059136).

222212010020 is an abundant number, since it is smaller than the sum of its proper divisors (453316108252).

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

222212010020 is a wasteful number, since it uses less digits than its factorization.

222212010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222212010020 its reverse (20010212222), we get a palindrome (242222222242).

The spelling of 222212010020 in words is "two hundred twenty-two billion, two hundred twelve million, ten thousand, twenty".