219724101 has 12 divisors (see below), whose sum is σ = 317604300. Its totient is φ = 146378880.

The previous prime is 219724069. The next prime is 219724103. The reversal of 219724101 is 101427912.

It can be written as a sum of positive squares in 2 ways, for example, as 106812225 + 112911876 = 10335^2 + 10626^2 .

It is not a de Polignac number, because 219724101 - 2⁵ = 219724069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219724103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6061 + ... + 21821.

It is an arithmetic number, because the mean of its divisors is an integer number (26467025).

Almost surely, 2^219724101 is an apocalyptic number.

It is an amenable number.

219724101 is a deficient number, since it is larger than the sum of its proper divisors (97880199).

219724101 is a wasteful number, since it uses less digits than its factorization.

219724101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316 (or 17313 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 219724101 is about 14823.0935030445. The cubic root of 219724101 is about 603.4286120466.

The spelling of 219724101 in words is "two hundred nineteen million, seven hundred twenty-four thousand, one hundred one".