220513000 has 32 divisors (see below), whose sum is σ = 516002760. Its totient is φ = 88204800.

The previous prime is 220512991. The next prime is 220513037. The reversal of 220513000 is 315022.

It can be written as a sum of positive squares in 4 ways, for example, as 98763844 + 121749156 = 9938^2 + 11034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109257 + ... + 111256.

Almost surely, 2^220513000 is an apocalyptic number.

220513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220513000 is an abundant number, since it is smaller than the sum of its proper divisors (295489760).

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

220513000 is a wasteful number, since it uses less digits than its factorization.

220513000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220534 (or 220520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 220513000 is about 14849.6801312352. The cubic root of 220513000 is about 604.1499342704.

Adding to 220513000 its reverse (315022), we get a palindrome (220828022).

The spelling of 220513000 in words is "two hundred twenty million, five hundred thirteen thousand".