1801729224 has 128 divisors (see below), whose sum is σ = 5323968000. Its totient is φ = 562609152.

The previous prime is 1801729217. The next prime is 1801729229. The reversal of 1801729224 is 4229271081.

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

It is not an unprimeable number, because it can be changed into a prime (1801729229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876582 + ... + 878634.

It is an arithmetic number, because the mean of its divisors is an integer number (41593500).

Almost surely, 2^1801729224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801729224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661984000).

1801729224 is an abundant number, since it is smaller than the sum of its proper divisors (3522238776).

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

1801729224 is a wasteful number, since it uses less digits than its factorization.

1801729224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1801729224 is about 42446.7810793704. The cubic root of 1801729224 is about 1216.8298110954.

It can be divided in two parts, 1801 and 729224, that added together give a square (731025 = 855²).

The spelling of 1801729224 in words is "one billion, eight hundred one million, seven hundred twenty-nine thousand, two hundred twenty-four".