222382464 has 48 divisors (see below), whose sum is σ = 591480660. Its totient is φ = 74030080.

The previous prime is 222382463. The next prime is 222382477. The reversal of 222382464 is 464283222.

222382464 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×222382464² = 98907920589422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222382463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291844 + ... + 292604.

Almost surely, 2^222382464 is an apocalyptic number.

222382464 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 222382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295740330).

222382464 is an abundant number, since it is smaller than the sum of its proper divisors (369098196).

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

222382464 is an frugal number, since it uses more digits than its factorization.

222382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 766 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 222382464 is about 14912.4935540640. The cubic root of 222382464 is about 605.8524186143.

The spelling of 222382464 in words is "two hundred twenty-two million, three hundred eighty-two thousand, four hundred sixty-four".