224536720 has 80 divisors (see below), whose sum is σ = 553678848. Its totient is φ = 84533760.

The previous prime is 224536717. The next prime is 224536729. The reversal of 224536720 is 27635422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (224536729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90537 + ... + 92983.

Almost surely, 2^224536720 is an apocalyptic number.

224536720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224536720 is the 12235-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276839424).

224536720 is an abundant number, since it is smaller than the sum of its proper divisors (329142128).

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

224536720 is a wasteful number, since it uses less digits than its factorization.

224536720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 224536720 is about 14984.5493759405. The cubic root of 224536720 is about 607.8024664164.

The spelling of 224536720 in words is "two hundred twenty-four million, five hundred thirty-six thousand, seven hundred twenty".