2228211216 has 240 divisors, whose sum is σ = 8232651648. Its totient is φ = 544665600.

The previous prime is 2228211191. The next prime is 2228211217. The reversal of 2228211216 is 6121128222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2228211216.

It is not an unprimeable number, because it can be changed into a prime (2228211217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182586 + ... + 194406.

Almost surely, 2^2228211216 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 2228211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116325824).

2228211216 is an abundant number, since it is smaller than the sum of its proper divisors (6004440432).

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

2228211216 is a wasteful number, since it uses less digits than its factorization.

2228211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11870 (or 11861 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2228211216 is about 47203.9322090861. The cubic root of 2228211216 is about 1306.1271347209.

Adding to 2228211216 its reverse (6121128222), we get a palindrome (8349339438).

It can be divided in two parts, 2228 and 211216, that added together give a square (213444 = 462²).

The spelling of 2228211216 in words is "two billion, two hundred twenty-eight million, two hundred eleven thousand, two hundred sixteen".