226457280 has 336 divisors, whose sum is σ = 912936960. Its totient is φ = 50448384.

The previous prime is 226457237. The next prime is 226457293. The reversal of 226457280 is 82754622.

226457280 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947401 + ... + 947639.

Almost surely, 2^226457280 is an apocalyptic number.

226457280 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 226457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

226457280 is an abundant number, since it is smaller than the sum of its proper divisors (686479680).

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

226457280 is a wasteful number, since it uses less digits than its factorization.

226457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 226457280 is about 15048.4975994283. The cubic root of 226457280 is about 609.5304816668.

The spelling of 226457280 in words is "two hundred twenty-six million, four hundred fifty-seven thousand, two hundred eighty".