226521792 has 224 divisors, whose sum is σ = 776061440. Its totient is φ = 63452160.

The previous prime is 226521791. The next prime is 226521809. The reversal of 226521792 is 297125622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (226521791) 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, 737703 + ... + 738009.

It is an arithmetic number, because the mean of its divisors is an integer number (3464560).

Almost surely, 2^226521792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226521792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388030720).

226521792 is an abundant number, since it is smaller than the sum of its proper divisors (549539648).

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

226521792 is a wasteful number, since it uses less digits than its factorization.

226521792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 226521792 is about 15050.6409165856. The cubic root of 226521792 is about 609.5883561543.

The spelling of 226521792 in words is "two hundred twenty-six million, five hundred twenty-one thousand, seven hundred ninety-two".