224848260 has 432 divisors, whose sum is σ = 894072816. Its totient is φ = 45287424.

The previous prime is 224848259. The next prime is 224848303. The reversal of 224848260 is 62848422.

It is a happy number.

224848260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1285956 + 223562304 = 1134^2 + 14952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4242394 + ... + 4242446.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2^224848260 is an apocalyptic number.

224848260 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 224848260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447036408).

224848260 is an abundant number, since it is smaller than the sum of its proper divisors (669224556).

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

224848260 is a wasteful number, since it uses less digits than its factorization.

224848260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 224848260 is about 14994.9411469335. The cubic root of 224848260 is about 608.0834409085.

The spelling of 224848260 in words is "two hundred twenty-four million, eight hundred forty-eight thousand, two hundred sixty".