220025520 has 240 divisors, whose sum is σ = 868506912. Its totient is φ = 49213440.

The previous prime is 220025513. The next prime is 220025527. The reversal of 220025520 is 25520022.

It is an interprime number because it is at equal distance from previous prime (220025513) and next prime (220025527).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220025520² = 96822458902540800, which contains 22 as substring.

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 = 220025493 and 220025502.

It is not an unprimeable number, because it can be changed into a prime (220025527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101892 + ... + 104028.

Almost surely, 2^220025520 is an apocalyptic number.

220025520 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 220025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434253456).

220025520 is an abundant number, since it is smaller than the sum of its proper divisors (648481392).

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

220025520 is a wasteful number, since it uses less digits than its factorization.

220025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 220025520 is about 14833.2572282692. The cubic root of 220025520 is about 603.7044151121.

Adding to 220025520 its reverse (25520022), we get a palindrome (245545542).

The spelling of 220025520 in words is "two hundred twenty million, twenty-five thousand, five hundred twenty".