226164600 has 288 divisors, whose sum is σ = 848718000. Its totient is φ = 53637120.

The previous prime is 226164577. The next prime is 226164647. The reversal of 226164600 is 6461622.

It is a happy number.

226164600 is a `hidden beast` number, since 2 + 2 + 616 + 46 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581206 + ... + 581594.

Almost surely, 2^226164600 is an apocalyptic number.

226164600 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 226164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424359000).

226164600 is an abundant number, since it is smaller than the sum of its proper divisors (622553400).

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

226164600 is a wasteful number, since it uses less digits than its factorization.

226164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226164600 is about 15038.7698965042. The cubic root of 226164600 is about 609.2677767953.

The spelling of 226164600 in words is "two hundred twenty-six million, one hundred sixty-four thousand, six hundred".