224854080 has 224 divisors, whose sum is σ = 790041600. Its totient is φ = 53729280.

The previous prime is 224854079. The next prime is 224854103. The reversal of 224854080 is 80458422.

It is a happy number.

It is a super-3 number, since 3×224854080³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129821 + ... + 1130019.

Almost surely, 2^224854080 is an apocalyptic number.

224854080 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 224854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

224854080 is an abundant number, since it is smaller than the sum of its proper divisors (565187520).

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

224854080 is a wasteful number, since it uses less digits than its factorization.

224854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 224854080 is about 14995.1352111276. The cubic root of 224854080 is about 608.0886874321.

It can be divided in two parts, 22485 and 4080, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 224854080 in words is "two hundred twenty-four million, eight hundred fifty-four thousand, eighty".