219225840 has 40 divisors (see below), whose sum is σ = 679600848. Its totient is φ = 58460160.

The previous prime is 219225827. The next prime is 219225847. The reversal of 219225840 is 48522912.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219225847) 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 7 ways as a sum of consecutive naturals, for example, 456481 + ... + 456960.

Almost surely, 2^219225840 is an apocalyptic number.

219225840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219225840 is an abundant number, since it is smaller than the sum of its proper divisors (460375008).

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

219225840 is a wasteful number, since it uses less digits than its factorization.

219225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913457 (or 913451 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 219225840 is about 14806.2770472526. The cubic root of 219225840 is about 602.9721418668.

The spelling of 219225840 in words is "two hundred nineteen million, two hundred twenty-five thousand, eight hundred forty".