222464 has 36 divisors (see below), whose sum is σ = 490560. Its totient is φ = 99840.

The previous prime is 222461. The next prime is 222493. The reversal of 222464 is 464222.

222464 = T₃₂ + T₃₃ + ... + T₁₁₀.

222464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2777 + ... + 2855.

2²²²⁴⁶⁴ 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 222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245280).

222464 is an abundant number, since it is smaller than the sum of its proper divisors (268096).

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

222464 is an equidigital number, since it uses as much as digits as its factorization.

222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 222464 is about 471.6608951355. The cubic root of 222464 is about 60.5926454348.

Adding to 222464 its reverse (464222), we get a palindrome (686686).

It can be divided in two parts, 222 and 464, that added together give a palindrome (686).

The spelling of 222464 in words is "two hundred twenty-two thousand, four hundred sixty-four".