226949760 has 288 divisors, whose sum is σ = 829532340. Its totient is φ = 57139200.

The previous prime is 226949759. The next prime is 226949803. The reversal of 226949760 is 67949622.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 27123264 = 14136^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5535340 + ... + 5535380.

Almost surely, 2^226949760 is an apocalyptic number.

226949760 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 226949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414766170).

226949760 is an abundant number, since it is smaller than the sum of its proper divisors (602582580).

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

226949760 is a wasteful number, since it uses less digits than its factorization.

226949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 226949760 is about 15064.8518080995. The cubic root of 226949760 is about 609.9720134074.

The spelling of 226949760 in words is "two hundred twenty-six million, nine hundred forty-nine thousand, seven hundred sixty".