1228416100 has 36 divisors (see below), whose sum is σ = 2669180724. Its totient is φ = 490718080.

The previous prime is 1228416089. The next prime is 1228416103. The reversal of 1228416100 is 16148221.

It can be written as a sum of positive squares in 6 ways, for example, as 3976036 + 1224440064 = 1994^2 + 34992^2 .

It is a super-2 number, since 2×1228416100² = 3018012229478420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1228416103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71994 + ... + 87406.

It is an arithmetic number, because the mean of its divisors is an integer number (74143909).

Almost surely, 2^1228416100 is an apocalyptic number.

1228416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1228416100 is an abundant number, since it is smaller than the sum of its proper divisors (1440764624).

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

1228416100 is a wasteful number, since it uses less digits than its factorization.

1228416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1228416100 is about 35048.7674533642. The cubic root of 1228416100 is about 1070.9811654103.

The spelling of 1228416100 in words is "one billion, two hundred twenty-eight million, four hundred sixteen thousand, one hundred".