220147200 has 720 divisors, whose sum is σ = 1012278960. Its totient is φ = 46448640.

The previous prime is 220147189. The next prime is 220147241. The reversal of 220147200 is 2741022.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16934394 + ... + 16934406.

It is an arithmetic number, because the mean of its divisors is an integer number (1405943).

Almost surely, 2^220147200 is an apocalyptic number.

220147200 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 220147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506139480).

220147200 is an abundant number, since it is smaller than the sum of its proper divisors (792131760).

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

220147200 is a wasteful number, since it uses less digits than its factorization.

220147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 220147200 is about 14837.3582554308. The cubic root of 220147200 is about 603.8156828351.

Adding to 220147200 its reverse (2741022), we get a palindrome (222888222).

The spelling of 220147200 in words is "two hundred twenty million, one hundred forty-seven thousand, two hundred".