226554048 has 252 divisors, whose sum is σ = 790498800. Its totient is φ = 61737984.

The previous prime is 226554017. The next prime is 226554049. The reversal of 226554048 is 840455622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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 (226554049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 648978 + ... + 649326.

It is an arithmetic number, because the mean of its divisors is an integer number (3136900).

Almost surely, 2^226554048 is an apocalyptic number.

226554048 is a gapful number since it is divisible by the number (28) 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 226554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395249400).

226554048 is an abundant number, since it is smaller than the sum of its proper divisors (563944752).

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

226554048 is a wasteful number, since it uses less digits than its factorization.

226554048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 226554048 is about 15051.7124607136. The cubic root of 226554048 is about 609.6172892776.

The spelling of 226554048 in words is "two hundred twenty-six million, five hundred fifty-four thousand, forty-eight".