226152 has 40 divisors (see below), whose sum is σ = 635250. Its totient is φ = 75168.

The previous prime is 226141. The next prime is 226169. The reversal of 226152 is 251622.

It can be written as a sum of positive squares in only one way, i.e., 171396 + 54756 = 414^2 + 234^2 .

It is a super-2 number, since 2×226152² = 102289454208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226152.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 474 + ... + 822.

2²²⁶¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317625).

226152 is an abundant number, since it is smaller than the sum of its proper divisors (409098).

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

226152 is a wasteful number, since it uses less digits than its factorization.

226152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 226152 is about 475.5544132904. The cubic root of 226152 is about 60.9256462150.

Adding to 226152 its reverse (251622), we get a palindrome (477774).

It can be divided in two parts, 226 and 152, that added together give a triangular number (378 = T₂₇).

The spelling of 226152 in words is "two hundred twenty-six thousand, one hundred fifty-two".