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222008020 = 225131396143
BaseRepresentation
bin11010011101110…
…01001011010100
3120110202011202021
431032321023110
5423313224040
634010222524
75334015463
oct1516711324
9513664667
10222008020
11104354a03
1262424a44
1336cc16c0
14216b09da
151475524a
hexd3b92d4

222008020 has 48 divisors (see below), whose sum is σ = 505774080. Its totient is φ = 81369216.

The previous prime is 222007997. The next prime is 222008023. The reversal of 222008020 is 20800222.

222008020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222007985 and 222008003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222008023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33069 + ... + 39211.

It is an arithmetic number, because the mean of its divisors is an integer number (10536960).

Almost surely, 2222008020 is an apocalyptic number.

222008020 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 222008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887040).

222008020 is an abundant number, since it is smaller than the sum of its proper divisors (283766060).

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

222008020 is a wasteful number, since it uses less digits than its factorization.

222008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 222008020 is about 14899.9335568988. The cubic root of 222008020 is about 605.5121860787.

Adding to 222008020 its reverse (20800222), we get a palindrome (242808242).

It can be divided in two parts, 2220080 and 20, that added together give a square (2220100 = 14902).

The spelling of 222008020 in words is "two hundred twenty-two million, eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 6143 7228 9035 12286 18070 24572 30715 36140 61430 79859 122860 159718 319436 399295 798590 853877 1597180 1707754 3415508 4269385 8538770 11100401 17077540 22200802 44401604 55502005 111004010 222008020