224973984 has 48 divisors (see below), whose sum is σ = 621643680. Its totient is φ = 71043840.

The previous prime is 224973977. The next prime is 224973997. The reversal of 224973984 is 489379422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×224973984² = 101226586953664512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59847 + ... + 63494.

It is an arithmetic number, because the mean of its divisors is an integer number (12950910).

Almost surely, 2^224973984 is an apocalyptic number.

224973984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224973984 is an abundant number, since it is smaller than the sum of its proper divisors (396669696).

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

224973984 is a wasteful number, since it uses less digits than its factorization.

224973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123373 (or 123365 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 224973984 is about 14999.1327749307. The cubic root of 224973984 is about 608.1967564957.

The spelling of 224973984 in words is "two hundred twenty-four million, nine hundred seventy-three thousand, nine hundred eighty-four".