219827340 has 216 divisors, whose sum is σ = 748893600. Its totient is φ = 52005888.

The previous prime is 219827303. The next prime is 219827369. The reversal of 219827340 is 43728912.

219827340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×219827340² = 96648118822951200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 219827295 and 219827304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1104561 + ... + 1104759.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^219827340 is an apocalyptic number.

219827340 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 219827340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

219827340 is an abundant number, since it is smaller than the sum of its proper divisors (529066260).

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

219827340 is a wasteful number, since it uses less digits than its factorization.

219827340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 219827340 is about 14826.5754643478. The cubic root of 219827340 is about 603.5231057196.

The spelling of 219827340 in words is "two hundred nineteen million, eight hundred twenty-seven thousand, three hundred forty".