224400132 has 120 divisors (see below), whose sum is σ = 648869760. Its totient is φ = 67055040.

The previous prime is 224400131. The next prime is 224400133. The reversal of 224400132 is 231004422.

It is an interprime number because it is at equal distance from previous prime (224400131) and next prime (224400133).

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

It is not an unprimeable number, because it can be changed into a prime (224400131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281158 + ... + 281954.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2^224400132 is an apocalyptic number.

224400132 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 224400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

224400132 is an abundant number, since it is smaller than the sum of its proper divisors (424469628).

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

224400132 is a wasteful number, since it uses less digits than its factorization.

224400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224400132 is about 14979.9910547370. The cubic root of 224400132 is about 607.6791972504.

Adding to 224400132 its reverse (231004422), we get a palindrome (455404554).

The spelling of 224400132 in words is "two hundred twenty-four million, four hundred thousand, one hundred thirty-two".