226446528 has 336 divisors, whose sum is σ = 808475904. Its totient is φ = 54312960.

The previous prime is 226446509. The next prime is 226446547. The reversal of 226446528 is 825644622.

It is an interprime number because it is at equal distance from previous prime (226446509) and next prime (226446547).

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (184320) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4272550 + ... + 4272602.

Almost surely, 2^226446528 is an apocalyptic number.

226446528 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 226446528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404237952).

226446528 is an abundant number, since it is smaller than the sum of its proper divisors (582029376).

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

226446528 is a wasteful number, since it uses less digits than its factorization.

226446528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 226446528 is about 15048.1403502227. The cubic root of 226446528 is about 609.5208348503.

The spelling of 226446528 in words is "two hundred twenty-six million, four hundred forty-six thousand, five hundred twenty-eight".