219228240 has 160 divisors (see below), whose sum is σ = 847374336. Its totient is φ = 45550080.

The previous prime is 219228223. The next prime is 219228253. The reversal of 219228240 is 42822912.

It is a super-2 number, since 2×219228240² = 96122042426995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 219228198 and 219228207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12549 + ... + 24411.

Almost surely, 2^219228240 is an apocalyptic number.

219228240 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 219228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423687168).

219228240 is an abundant number, since it is smaller than the sum of its proper divisors (628146096).

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

219228240 is a wasteful number, since it uses less digits than its factorization.

219228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 219228240 is about 14806.3580937380. The cubic root of 219228240 is about 602.9743422276.

The spelling of 219228240 in words is "two hundred nineteen million, two hundred twenty-eight thousand, two hundred forty".