201293824 has 32 divisors (see below), whose sum is σ = 402647040. Its totient is φ = 100630528.

The previous prime is 201293803. The next prime is 201293831. The reversal of 201293824 is 428392102.

201293824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29697 + ... + 35839.

It is an arithmetic number, because the mean of its divisors is an integer number (12582720).

Almost surely, 2^201293824 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 201293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201323520).

201293824 is an abundant number, since it is smaller than the sum of its proper divisors (201353216).

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

201293824 is an frugal number, since it uses more digits than its factorization.

201293824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 201293824 is about 14187.8054680772. The cubic root of 201293824 is about 586.0618928442.

The spelling of 201293824 in words is "two hundred one million, two hundred ninety-three thousand, eight hundred twenty-four".