226766400 has 336 divisors, whose sum is σ = 902549376. Its totient is φ = 48660480.

The previous prime is 226766389. The next prime is 226766411. The reversal of 226766400 is 4667622.

It is an interprime number because it is at equal distance from previous prime (226766389) and next prime (226766411).

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

It is a congruent number.

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, 571002 + ... + 571398.

Almost surely, 2^226766400 is an apocalyptic number.

226766400 is a gapful number since it is divisible by the number (20) 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 226766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451274688).

226766400 is an abundant number, since it is smaller than the sum of its proper divisors (675782976).

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

226766400 is a wasteful number, since it uses less digits than its factorization.

226766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 226766400 is about 15058.7648895917. The cubic root of 226766400 is about 609.8076971540.

The spelling of 226766400 in words is "two hundred twenty-six million, seven hundred sixty-six thousand, four hundred".