224077920 has 288 divisors, whose sum is σ = 816915456. Its totient is φ = 51148800.

The previous prime is 224077913. The next prime is 224077921. The reversal of 224077920 is 29770422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224077921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6056142 + ... + 6056178.

It is an arithmetic number, because the mean of its divisors is an integer number (2836512).

Almost surely, 2^224077920 is an apocalyptic number.

224077920 is a gapful number since it is divisible by the number (20) 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 224077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

224077920 is an abundant number, since it is smaller than the sum of its proper divisors (592837536).

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

224077920 is a wasteful number, since it uses less digits than its factorization.

224077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 224077920 is about 14969.2324452525. The cubic root of 224077920 is about 607.3882061556.

The spelling of 224077920 in words is "two hundred twenty-four million, seventy-seven thousand, nine hundred twenty".