1228219416 has 128 divisors (see below), whose sum is σ = 3504384000. Its totient is φ = 398393856.

The previous prime is 1228219393. The next prime is 1228219423. The reversal of 1228219416 is 6149128221.

1228219416 is a `hidden beast` number, since 1 + 2 + 28 + 219 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421045 + ... + 3421403.

It is an arithmetic number, because the mean of its divisors is an integer number (27378000).

Almost surely, 2^1228219416 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 1228219416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752192000).

1228219416 is an abundant number, since it is smaller than the sum of its proper divisors (2276164584).

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

1228219416 is a wasteful number, since it uses less digits than its factorization.

1228219416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1228219416 is about 35045.9614791776. The cubic root of 1228219416 is about 1070.9240034267.

The spelling of 1228219416 in words is "one billion, two hundred twenty-eight million, two hundred nineteen thousand, four hundred sixteen".