224829144 has 24 divisors (see below), whose sum is σ = 608912460. Its totient is φ = 74943024.

The previous prime is 224829133. The next prime is 224829179. The reversal of 224829144 is 441928422.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×224829144³ (a number of 26 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224829099 and 224829108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1561242 + ... + 1561385.

Almost surely, 2^224829144 is an apocalyptic number.

224829144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224829144 is an abundant number, since it is smaller than the sum of its proper divisors (384083316).

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

224829144 is a wasteful number, since it uses less digits than its factorization.

224829144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122639 (or 3122632 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 224829144 is about 14994.3037184125. The cubic root of 224829144 is about 608.0662078755.

It can be divided in two parts, 22482 and 9144, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 224829144 in words is "two hundred twenty-four million, eight hundred twenty-nine thousand, one hundred forty-four".