226606464 has 512 divisors, whose sum is σ = 881280000. Its totient is φ = 55738368.

The previous prime is 226606451. The next prime is 226606469. The reversal of 226606464 is 464606622.

226606464 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 0 + 646 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226606469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7814002 + ... + 7814030.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 2^226606464 is an apocalyptic number.

226606464 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 226606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

226606464 is an abundant number, since it is smaller than the sum of its proper divisors (654673536).

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

226606464 is a wasteful number, since it uses less digits than its factorization.

226606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 226606464 is about 15053.4535572406. The cubic root of 226606464 is about 609.6642997461.

The spelling of 226606464 in words is "two hundred twenty-six million, six hundred six thousand, four hundred sixty-four".