226472401 has 9 divisors (see below), whose sum is σ = 230282353. Its totient is φ = 222725200.

The previous prime is 226472347. The next prime is 226472413. The reversal of 226472401 is 104274622.

It is a happy number.

The square root of 226472401 is 15049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5058001 + 221414400 = 2249^2 + 14880^2 .

It is not a de Polignac number, because 226472401 - 2²³ = 218083793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226472401.

It is not an unprimeable number, because it can be changed into a prime (226472431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1519875 + ... + 1520023.

Almost surely, 2^226472401 is an apocalyptic number.

226472401 is the 15049-th square number.

226472401 is the 7525-th centered octagonal number.

It is an amenable number.

226472401 is a deficient number, since it is larger than the sum of its proper divisors (3809952).

226472401 is an frugal number, since it uses more digits than its factorization.

226472401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The cubic root of 226472401 is about 609.5440478830.

The spelling of 226472401 in words is "two hundred twenty-six million, four hundred seventy-two thousand, four hundred one".