1226889216 has 288 divisors, whose sum is σ = 4175327520. Its totient is φ = 339738624.

The previous prime is 1226889211. The next prime is 1226889229. The reversal of 1226889216 is 6129886221.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226889211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773760 + ... + 4774016.

It is an arithmetic number, because the mean of its divisors is an integer number (14497665).

Almost surely, 2^1226889216 is an apocalyptic number.

1226889216 is a gapful number since it is divisible by the number (16) 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 1226889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087663760).

1226889216 is an abundant number, since it is smaller than the sum of its proper divisors (2948438304).

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

1226889216 is a wasteful number, since it uses less digits than its factorization.

1226889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1226889216 is about 35026.9784023687. The cubic root of 1226889216 is about 1070.5372490528.

The spelling of 1226889216 in words is "one billion, two hundred twenty-six million, eight hundred eighty-nine thousand, two hundred sixteen".