220513419 has 48 divisors (see below), whose sum is σ = 379753920. Its totient is φ = 120637440.

The previous prime is 220513379. The next prime is 220513427. The reversal of 220513419 is 914315022.

It is not a de Polignac number, because 220513419 - 2⁹ = 220512907 is a prime.

It is a super-2 number, since 2×220513419² = 97252335918139122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220513392 and 220513401.

It is not an unprimeable number, because it can be changed into a prime (220513429) 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, 249859 + ... + 250739.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^220513419 is an apocalyptic number.

220513419 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

220513419 is a deficient number, since it is larger than the sum of its proper divisors (159240501).

220513419 is a wasteful number, since it uses less digits than its factorization.

220513419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 220513419 is about 14849.6942392764. The cubic root of 220513419 is about 604.1503169215.

The spelling of 220513419 in words is "two hundred twenty million, five hundred thirteen thousand, four hundred nineteen".