226001664 has 252 divisors, whose sum is σ = 777464016. Its totient is φ = 64198656.

The previous prime is 226001651. The next prime is 226001693. The reversal of 226001664 is 466100622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306282 + ... + 1306454.

Almost surely, 2^226001664 is an apocalyptic number.

226001664 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 226001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388732008).

226001664 is an abundant number, since it is smaller than the sum of its proper divisors (551462352).

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

226001664 is an frugal number, since it uses more digits than its factorization.

226001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

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

The square root of 226001664 is about 15033.3517220878. The cubic root of 226001664 is about 609.1214298375.

The spelling of 226001664 in words is "two hundred twenty-six million, one thousand, six hundred sixty-four".