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222142212 = 223273137617
BaseRepresentation
bin11010011110110…
…01111100000100
3120110222222211100
431033121330010
5423332022322
634013140100
75335114635
oct1517317404
9513888740
10222142212
11104436806
126248a630
133703a7c6
142170788c
151477edac
hexd3d9f04

222142212 has 72 divisors (see below), whose sum is σ = 574302456. Its totient is φ = 72382464.

The previous prime is 222142189. The next prime is 222142229. The reversal of 222142212 is 212241222.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 216266436 = 2424^2 + 14706^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359728 + ... + 360344.

It is an arithmetic number, because the mean of its divisors is an integer number (7976423).

Almost surely, 2222142212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222142212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287151228).

222142212 is an abundant number, since it is smaller than the sum of its proper divisors (352160244).

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

222142212 is a wasteful number, since it uses less digits than its factorization.

222142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

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

The square root of 222142212 is about 14904.4359839613. The cubic root of 222142212 is about 605.6341614400.

Adding to 222142212 its reverse (212241222), we get a palindrome (434383434).

The spelling of 222142212 in words is "two hundred twenty-two million, one hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 617 657 822 876 1233 1234 1314 1644 1851 2466 2468 2628 3702 4932 5553 7404 10001 11106 20002 22212 30003 40004 45041 60006 84529 90009 90082 120012 135123 169058 180018 180164 253587 270246 338116 360036 405369 507174 540492 760761 810738 1014348 1521522 1621476 3043044 6170617 12341234 18511851 24682468 37023702 55535553 74047404 111071106 222142212