224739840 has 160 divisors (see below), whose sum is σ = 774075456. Its totient is φ = 55296000.

The previous prime is 224739839. The next prime is 224739841. The reversal of 224739840 is 48937422.

It is an interprime number because it is at equal distance from previous prime (224739839) and next prime (224739841).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224739841) 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, 98715 + ... + 100965.

Almost surely, 2^224739840 is an apocalyptic number.

224739840 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 224739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387037728).

224739840 is an abundant number, since it is smaller than the sum of its proper divisors (549335616).

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

224739840 is a wasteful number, since it uses less digits than its factorization.

224739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 224739840 is about 14991.3254917636. The cubic root of 224739840 is about 607.9856875671.

The spelling of 224739840 in words is "two hundred twenty-four million, seven hundred thirty-nine thousand, eight hundred forty".