226416960 has 336 divisors, whose sum is σ = 971897472. Its totient is φ = 47001600.

The previous prime is 226416929. The next prime is 226416989. The reversal of 226416960 is 69614622.

226416960 is a `hidden beast` number, since 2 + 2 + 641 + 6 + 9 + 6 + 0 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221250 + ... + 222270.

It is an arithmetic number, because the mean of its divisors is an integer number (2892552).

Almost surely, 2^226416960 is an apocalyptic number.

226416960 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 226416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485948736).

226416960 is an abundant number, since it is smaller than the sum of its proper divisors (745480512).

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

226416960 is a wasteful number, since it uses less digits than its factorization.

226416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226416960 is about 15047.1578711729. The cubic root of 226416960 is about 609.4943045304.

The spelling of 226416960 in words is "two hundred twenty-six million, four hundred sixteen thousand, nine hundred sixty".