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204220320 = 25351729863
BaseRepresentation
bin11000010110000…
…10011110100000
3112020021110121120
430023002132200
5404240022240
632133052240
75026562343
oct1413023640
9466243546
10204220320
11a5305827
1258487080
1333404235
141d1a045a
1512ddead0
hexc2c27a0

204220320 has 192 divisors, whose sum is σ = 705438720. Its totient is φ = 49430528.

The previous prime is 204220319. The next prime is 204220321. The reversal of 204220320 is 23022402.

It is an interprime number because it is at equal distance from previous prime (204220319) and next prime (204220321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204220320.

It is not an unprimeable number, because it can be changed into a prime (204220321) by changing a digit.

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, 236209 + ... + 237071.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2204220320 is an apocalyptic number.

204220320 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 204220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

204220320 is an abundant number, since it is smaller than the sum of its proper divisors (501218400).

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

204220320 is a wasteful number, since it uses less digits than its factorization.

204220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 204220320 is about 14290.5675184718. The cubic root of 204220320 is about 588.8883789930. Note that the first 3 decimals are identical.

Adding to 204220320 its reverse (23022402), we get a palindrome (227242722).

The spelling of 204220320 in words is "two hundred four million, two hundred twenty thousand, three hundred twenty".