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204203104400 = 2452736993257
BaseRepresentation
bin1011111000101101110…
…1000001100010010000
3201112002021011111210202
42332023131001202100
511321201443320100
6233450513114332
720516225514461
oct2761335014220
9645067144722
10204203104400
11796693687a9
12336ab2589a8
1316344043bb9
149c523c4d68
1554a24687d5
hex2f8b741890

204203104400 has 60 divisors (see below), whose sum is σ = 497318549412. Its totient is φ = 80562309120.

The previous prime is 204203104397. The next prime is 204203104403. The reversal of 204203104400 is 4401302402.

It is an interprime number because it is at equal distance from previous prime (204203104397) and next prime (204203104403).

It can be written as a sum of positive squares in 6 ways, for example, as 32671285504 + 171531818896 = 180752^2 + 414164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204203104403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3467429 + ... + 3525828.

Almost surely, 2204203104400 is an apocalyptic number.

204203104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204203104400 is an abundant number, since it is smaller than the sum of its proper divisors (293115445012).

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

204203104400 is a wasteful number, since it uses less digits than its factorization.

204203104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993348 (or 6993337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204203104400 its reverse (4401302402), we get a palindrome (208604406802).

The spelling of 204203104400 in words is "two hundred four billion, two hundred three million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 6993257 13986514 27973028 34966285 55946056 69932570 111892112 139865140 174831425 279730280 349662850 510507761 559460560 699325700 1021015522 1398651400 2042031044 2552538805 2797302800 4084062088 5105077610 8168124176 10210155220 12762694025 20420310440 25525388050 40840620880 51050776100 102101552200 204203104400