226512 has 90 divisors (see below), whose sum is σ = 750386. Its totient is φ = 63360.

The previous prime is 226511. The next prime is 226531. The reversal of 226512 is 215622.

226512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 69696 = 396^2 + 264^2 .

It is a super-2 number, since 2×226512² = 102615372288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17418 + ... + 17430.

2²²⁶⁵¹² is an apocalyptic number.

226512 is a gapful number since it is divisible by the number (22) 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 226512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375193).

226512 is an abundant number, since it is smaller than the sum of its proper divisors (523874).

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

226512 is a wasteful number, since it uses less digits than its factorization.

226512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 29 counting only the distinct ones).

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

The square root of 226512 is about 475.9327683612. The cubic root of 226512 is about 60.9579572341.

The spelling of 226512 in words is "two hundred twenty-six thousand, five hundred twelve".