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204242332420 = 22577918466757
BaseRepresentation
bin1011111000110111001…
…0101010101100000100
3201112011222222111112101
42332031302222230010
511321242014114140
6233454434001444
720520213116050
oct2761562525404
9645158874471
10204242332420
1179689521355
1233700416284
131634c1ca249
149c576b6c60
1554a5b1699a
hex2f8dcaab04

204242332420 has 48 divisors (see below), whose sum is σ = 496386455040. Its totient is φ = 69139534464.

The previous prime is 204242332351. The next prime is 204242332429. The reversal of 204242332420 is 24233242402.

It is a happy number.

204242332420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (204242332429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9222319 + ... + 9244438.

It is an arithmetic number, because the mean of its divisors is an integer number (10341384480).

Almost surely, 2204242332420 is an apocalyptic number.

204242332420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242332420 is an abundant number, since it is smaller than the sum of its proper divisors (292144122620).

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

204242332420 is a wasteful number, since it uses less digits than its factorization.

204242332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466852 (or 18466850 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204242332420 its reverse (24233242402), we get a palindrome (228475574822).

The spelling of 204242332420 in words is "two hundred four billion, two hundred forty-two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 18466757 36933514 73867028 92333785 129267299 184667570 258534598 369335140 517069196 646336495 1292672990 1458873803 2585345980 2917747606 5835495212 7294369015 10212116621 14588738030 20424233242 29177476060 40848466484 51060583105 102121166210 204242332420