226648980 has 72 divisors (see below), whose sum is σ = 690102504. Its totient is φ = 60211200.

The previous prime is 226648973. The next prime is 226648987. The reversal of 226648980 is 89846622.

It is an interprime number because it is at equal distance from previous prime (226648973) and next prime (226648987).

It can be written as a sum of positive squares in 4 ways, for example, as 64545156 + 162103824 = 8034^2 + 12732^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226648987) 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, 48340 + ... + 52820.

It is an arithmetic number, because the mean of its divisors is an integer number (9584757).

Almost surely, 2^226648980 is an apocalyptic number.

226648980 is a gapful number since it is divisible by the number (20) 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 226648980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345051252).

226648980 is an abundant number, since it is smaller than the sum of its proper divisors (463453524).

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

226648980 is a wasteful number, since it uses less digits than its factorization.

226648980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 226648980 is about 15054.8656586500. The cubic root of 226648980 is about 609.7024258525.

The spelling of 226648980 in words is "two hundred twenty-six million, six hundred forty-eight thousand, nine hundred eighty".