226451520 has 168 divisors, whose sum is σ = 792281880. Its totient is φ = 59351040.

The previous prime is 226451513. The next prime is 226451521. The reversal of 226451520 is 25154622.

226451520 is a `hidden beast` number, since 2 + 2 + 645 + 15 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 218566656 = 2808^2 + 14784^2 .

It is not an unprimeable number, because it can be changed into a prime (226451521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175036 + ... + 176324.

Almost surely, 2^226451520 is an apocalyptic number.

226451520 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 226451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396140940).

226451520 is an abundant number, since it is smaller than the sum of its proper divisors (565830360).

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

226451520 is a wasteful number, since it uses less digits than its factorization.

226451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 226451520 is about 15048.3062169800. The cubic root of 226451520 is about 609.5253137674.

The spelling of 226451520 in words is "two hundred twenty-six million, four hundred fifty-one thousand, five hundred twenty".