226250219520 has 448 divisors, whose sum is σ = 866327797440. Its totient is φ = 55688822784.

The previous prime is 226250219477. The next prime is 226250219521. The reversal of 226250219520 is 25912052622.

It is a happy number.

226250219520 is a `hidden beast` number, since 2 + 2 + 62 + 50 + 21 + 9 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226250219521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14369092 + ... + 14384828.

It is an arithmetic number, because the mean of its divisors is an integer number (1933767405).

Almost surely, 2^226250219520 is an apocalyptic number.

226250219520 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 226250219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433163898720).

226250219520 is an abundant number, since it is smaller than the sum of its proper divisors (640077577920).

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

226250219520 is a wasteful number, since it uses less digits than its factorization.

226250219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15790 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 226250219520 in words is "two hundred twenty-six billion, two hundred fifty million, two hundred nineteen thousand, five hundred twenty".