226545264 has 240 divisors, whose sum is σ = 752094720. Its totient is φ = 62883840.

The previous prime is 226545259. The next prime is 226545269. The reversal of 226545264 is 462545622.

It is an interprime number because it is at equal distance from previous prime (226545259) and next prime (226545269).

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 (226545269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265527 + ... + 1265705.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^226545264 is an apocalyptic number.

226545264 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 226545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376047360).

226545264 is an abundant number, since it is smaller than the sum of its proper divisors (525549456).

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

226545264 is a wasteful number, since it uses less digits than its factorization.

226545264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 226545264 is about 15051.4206638443. The cubic root of 226545264 is about 609.6094104402.

It can be divided in two parts, 226 and 545264, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 226545264 in words is "two hundred twenty-six million, five hundred forty-five thousand, two hundred sixty-four".