226429824 has 64 divisors (see below), whose sum is σ = 606320640. Its totient is φ = 74866176.

The previous prime is 226429813. The next prime is 226429843. The reversal of 226429824 is 428924622.

226429824 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46447 + ... + 51089.

It is an arithmetic number, because the mean of its divisors is an integer number (9473760).

Almost surely, 2^226429824 is an apocalyptic number.

226429824 is a gapful number since it is divisible by the number (24) 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 226429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303160320).

226429824 is an abundant number, since it is smaller than the sum of its proper divisors (379890816).

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

226429824 is a wasteful number, since it uses less digits than its factorization.

226429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4775 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 226429824 is about 15047.5853212401. The cubic root of 226429824 is about 609.5058472261.

The spelling of 226429824 in words is "two hundred twenty-six million, four hundred twenty-nine thousand, eight hundred twenty-four".