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222000020 = 2251197101103
BaseRepresentation
bin11010011101101…
…11001110010100
3120110201202202222
431032313032110
5423313000040
634010121512
75333653244
oct1516671624
9513652688
10222000020
111043499a0
1262420298
1336cbab78
14216abb24
1514752bb5
hexd3b7394

222000020 has 96 divisors (see below), whose sum is σ = 523950336. Its totient is φ = 78336000.

The previous prime is 222000019. The next prime is 222000043. The reversal of 222000020 is 20000222.

It is a junction number, because it is equal to n+sod(n) for n = 221999971 and 222000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155289 + ... + 2155391.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2222000020 is an apocalyptic number.

222000020 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 222000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261975168).

222000020 is an abundant number, since it is smaller than the sum of its proper divisors (301950316).

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

222000020 is a wasteful number, since it uses less digits than its factorization.

222000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 222000020 is about 14899.6650969074. The cubic root of 222000020 is about 605.5049128344.

Adding to 222000020 its reverse (20000222), we get a palindrome (242000242).

It can be divided in two parts, 2 and 22000020, that added together give a palindrome (22000022).

The spelling of 222000020 in words is "two hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 97 101 103 110 194 202 206 220 388 404 412 485 505 515 970 1010 1030 1067 1111 1133 1940 2020 2060 2134 2222 2266 4268 4444 4532 5335 5555 5665 9797 9991 10403 10670 11110 11330 19594 19982 20806 21340 22220 22660 39188 39964 41612 48985 49955 52015 97970 99910 104030 107767 109901 114433 195940 199820 208060 215534 219802 228866 431068 439604 457732 538835 549505 572165 1009091 1077670 1099010 1144330 2018182 2155340 2198020 2288660 4036364 5045455 10090910 11100001 20181820 22200002 44400004 55500005 111000010 222000020