226050480 has 160 divisors (see below), whose sum is σ = 783729600. Its totient is φ = 59885568.

The previous prime is 226050457. The next prime is 226050491. The reversal of 226050480 is 84050622.

226050480 is a `hidden beast` number, since 22 + 60 + 504 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 494412 + ... + 494868.

It is an arithmetic number, because the mean of its divisors is an integer number (4898310).

Almost surely, 2^226050480 is an apocalyptic number.

226050480 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 226050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391864800).

226050480 is an abundant number, since it is smaller than the sum of its proper divisors (557679120).

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

226050480 is a wasteful number, since it uses less digits than its factorization.

226050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 226050480 is about 15034.9752244558. The cubic root of 226050480 is about 609.1652831003.

The spelling of 226050480 in words is "two hundred twenty-six million, fifty thousand, four hundred eighty".