226073376 has 96 divisors (see below), whose sum is σ = 662800320. Its totient is φ = 74967552.

The previous prime is 226073347. The next prime is 226073377. The reversal of 226073376 is 673370622.

226073376 is digitally balanced in base 2, because in such base 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 (96).

It is a super-2 number, since 2×226073376² = 102218342672074752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226073376.

It is not an unprimeable number, because it can be changed into a prime (226073377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200751 + ... + 201873.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170).

Almost surely, 2^226073376 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 226073376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331400160).

226073376 is an abundant number, since it is smaller than the sum of its proper divisors (436726944).

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

226073376 is a wasteful number, since it uses less digits than its factorization.

226073376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 226073376 is about 15035.7366297764. The cubic root of 226073376 is about 609.1858492698.

The spelling of 226073376 in words is "two hundred twenty-six million, seventy-three thousand, three hundred seventy-six".