220228736 has 192 divisors, whose sum is σ = 572213880. Its totient is φ = 83607552.

The previous prime is 220228717. The next prime is 220228739. The reversal of 220228736 is 637822022.

It can be written as a sum of positive squares in 4 ways, for example, as 197571136 + 22657600 = 14056^2 + 4760^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (220228739) 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, 3016796 + ... + 3016868.

Almost surely, 2^220228736 is an apocalyptic number.

220228736 is a gapful number since it is divisible by the number (26) 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 220228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286106940).

220228736 is an abundant number, since it is smaller than the sum of its proper divisors (351985144).

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

220228736 is a wasteful number, since it uses less digits than its factorization.

220228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 220228736 is about 14840.1056600012. The cubic root of 220228736 is about 603.8902187799.

The spelling of 220228736 in words is "two hundred twenty million, two hundred twenty-eight thousand, seven hundred thirty-six".