57200220 has 144 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 11882880.

The previous prime is 57200183. The next prime is 57200263. The reversal of 57200220 is 2200275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57200193 and 57200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11797 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (1502592).

Almost surely, 2^57200220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108186624).

57200220 is an abundant number, since it is smaller than the sum of its proper divisors (159173028).

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

57200220 is a wasteful number, since it uses less digits than its factorization.

57200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57200220 is about 7563.0827048235. The cubic root of 57200220 is about 385.3001987635.

Adding to 57200220 its reverse (2200275), we get a palindrome (59400495).

Subtracting from 57200220 its reverse (2200275), we obtain a palindrome (54999945).

The spelling of 57200220 in words is "fifty-seven million, two hundred thousand, two hundred twenty".