226394330400 has 288 divisors, whose sum is σ = 935763857280. Its totient is φ = 51747240960.

The previous prime is 226394330377. The next prime is 226394330423. The reversal of 226394330400 is 4033493622.

226394330400 is a `hidden beast` number, since 2 + 263 + 94 + 3 + 304 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226394330377) and next prime (226394330423).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597459 + ... + 899858.

It is an arithmetic number, because the mean of its divisors is an integer number (3249180060).

Almost surely, 2^226394330400 is an apocalyptic number.

226394330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226394330400 is an abundant number, since it is smaller than the sum of its proper divisors (709369526880).

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

226394330400 is a wasteful number, since it uses less digits than its factorization.

226394330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497353 (or 1497334 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 226394330400 in words is "two hundred twenty-six billion, three hundred ninety-four million, three hundred thirty thousand, four hundred".