226586430 has 128 divisors (see below), whose sum is σ = 697973760. Its totient is φ = 51235200.

The previous prime is 226586417. The next prime is 226586441. The reversal of 226586430 is 34685622.

226586430 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 8 + 643 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190297 + ... + 191483.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2^226586430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226586430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348986880).

226586430 is an abundant number, since it is smaller than the sum of its proper divisors (471387330).

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

226586430 is a wasteful number, since it uses less digits than its factorization.

226586430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226586430 is about 15052.7881138346. The cubic root of 226586430 is about 609.6463326586.

The spelling of 226586430 in words is "two hundred twenty-six million, five hundred eighty-six thousand, four hundred thirty".