219250980 has 144 divisors (see below), whose sum is σ = 733212480. Its totient is φ = 52690176.

The previous prime is 219250979. The next prime is 219250981. The reversal of 219250980 is 89052912.

It is an interprime number because it is at equal distance from previous prime (219250979) and next prime (219250981).

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 (219250981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99531 + ... + 101709.

Almost surely, 2^219250980 is an apocalyptic number.

219250980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219250980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366606240).

219250980 is an abundant number, since it is smaller than the sum of its proper divisors (513961500).

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

219250980 is a wasteful number, since it uses less digits than its factorization.

219250980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 219250980 is about 14807.1259871725. The cubic root of 219250980 is about 602.9951898497.

The spelling of 219250980 in words is "two hundred nineteen million, two hundred fifty thousand, nine hundred eighty".