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222022210120020 = 223351727787312007
BaseRepresentation
bin110010011110110110010010…
…111101110110100101010100
31002010010010010120012102011000
4302132312102331312211110
5213100102441242320040
62104111332324343300
764523401224630132
oct6236662275664524
91063103116172130
10222022210120020
116481a0aa562062
1220a99484b44b30
1396b67b234761b
143cb7d0a36a752
151aa0491bd9130
hexc9ed92f76954

222022210120020 has 192 divisors, whose sum is σ = 734007603893760. Its totient is φ = 55522053863424.

The previous prime is 222022210119977. The next prime is 222022210120033. The reversal of 222022210120020 is 20021012220222.

222022210120020 is a `hidden beast` number, since 2 + 220 + 2 + 221 + 0 + 1 + 200 + 20 = 666.

It is a super-2 number, since 2×2220222101200202 (a number of 29 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 = 222022210119975 and 222022210120002.

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, 41113144 + ... + 46198863.

It is an arithmetic number, because the mean of its divisors is an integer number (3822956270280).

Almost surely, 2222022210120020 is an apocalyptic number.

222022210120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222022210120020 is an abundant number, since it is smaller than the sum of its proper divisors (511985393773740).

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

222022210120020 is a wasteful number, since it uses less digits than its factorization.

222022210120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87312319 (or 87312311 counting only the distinct ones).

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

Adding to 222022210120020 its reverse (20021012220222), we get a palindrome (242043222340242).

The spelling of 222022210120020 in words is "two hundred twenty-two trillion, twenty-two billion, two hundred ten million, one hundred twenty thousand, twenty".