226980512 has 108 divisors (see below), whose sum is σ = 515861514. Its totient is φ = 98208000.

The previous prime is 226980511. The next prime is 226980553. The reversal of 226980512 is 215089622.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 225120016 + 1860496 = 15004^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (226980511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3720962 + ... + 3721022.

Almost surely, 2^226980512 is an apocalyptic number.

226980512 is a gapful number since it is divisible by the number (22) 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 226980512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257930757).

226980512 is an abundant number, since it is smaller than the sum of its proper divisors (288881002).

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

226980512 is a wasteful number, since it uses less digits than its factorization.

226980512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 226980512 is about 15065.8724274434. The cubic root of 226980512 is about 609.9995628412. Note that the first 3 decimals are identical.

The spelling of 226980512 in words is "two hundred twenty-six million, nine hundred eighty thousand, five hundred twelve".