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222004420 = 225112773643
BaseRepresentation
bin11010011101110…
…00010011000100
3120110201222210221
431032320103010
5423313120140
634010154124
75334002131
oct1516702304
9513658727
10222004420
11104352230
1262422944
1336cbcb81
14216ad588
151475414a
hexd3b84c4

222004420 has 48 divisors (see below), whose sum is σ = 510568128. Its totient is φ = 80415360.

The previous prime is 222004373. The next prime is 222004429. The reversal of 222004420 is 24400222.

It is a junction number, because it is equal to n+sod(n) for n = 222004394 and 222004403.

It is not an unprimeable number, because it can be changed into a prime (222004429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59119 + ... + 62761.

It is an arithmetic number, because the mean of its divisors is an integer number (10636836).

Almost surely, 2222004420 is an apocalyptic number.

222004420 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 222004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255284064).

222004420 is an abundant number, since it is smaller than the sum of its proper divisors (288563708).

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

222004420 is a wasteful number, since it uses less digits than its factorization.

222004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 222004420 is about 14899.8127505013. The cubic root of 222004420 is about 605.5089131404.

Adding to 222004420 its reverse (24400222), we get a palindrome (246404642).

The spelling of 222004420 in words is "two hundred twenty-two million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2770 3047 3643 5540 6094 7286 12188 14572 15235 18215 30470 36430 40073 60940 72860 80146 160292 200365 400730 801460 1009111 2018222 4036444 5045555 10091110 11100221 20182220 22200442 44400884 55501105 111002210 222004420