220252000 has 192 divisors, whose sum is σ = 594397440. Its totient is φ = 79872000.

The previous prime is 220251973. The next prime is 220252061. The reversal of 220252000 is 252022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2787961 + ... + 2788039.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^220252000 is an apocalyptic number.

220252000 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 220252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

220252000 is an abundant number, since it is smaller than the sum of its proper divisors (374145440).

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

220252000 is a wasteful number, since it uses less digits than its factorization.

220252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 220252000 is about 14840.8894612149. The cubic root of 220252000 is about 603.9114821380.

It can be divided in two parts, 22025 and 2000, that added together give a square (24025 = 155²).

The spelling of 220252000 in words is "two hundred twenty million, two hundred fifty-two thousand".