224954730 has 288 divisors, whose sum is σ = 794731392. Its totient is φ = 42958080.

The previous prime is 224954729. The next prime is 224954749. The reversal of 224954730 is 37459422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 990877 + ... + 991103.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2^224954730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224954730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397365696).

224954730 is an abundant number, since it is smaller than the sum of its proper divisors (569776662).

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

224954730 is a wasteful number, since it uses less digits than its factorization.

224954730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 224954730 is about 14998.4909240897. The cubic root of 224954730 is about 608.1794055199.

It can be divided in two parts, 22495 and 4730, that added together give a square (27225 = 165²).

The spelling of 224954730 in words is "two hundred twenty-four million, nine hundred fifty-four thousand, seven hundred thirty".