224181000 has 384 divisors, whose sum is σ = 855878400. Its totient is φ = 54172800.

The previous prime is 224180993. The next prime is 224181037. The reversal of 224181000 is 181422.

224181000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224181000² = 100514241522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9746989 + ... + 9747011.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 2^224181000 is an apocalyptic number.

224181000 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 224181000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

224181000 is an abundant number, since it is smaller than the sum of its proper divisors (631697400).

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

224181000 is a wasteful number, since it uses less digits than its factorization.

224181000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 224181000 is about 14972.6751116826. The cubic root of 224181000 is about 607.4813284918.

The spelling of 224181000 in words is "two hundred twenty-four million, one hundred eighty-one thousand".