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204053444200 = 235210346121487
BaseRepresentation
bin1011111000001010001…
…0000111011001101000
3201111200211112222121101
42332002202013121220
511320400140203300
6233424005251144
720512430441404
oct2760242073150
9644624488541
10204053444200
11795a1938891
1233669103ab4
131631c033878
149c3a588104
155494254b6a
hex2f82887668

204053444200 has 96 divisors (see below), whose sum is σ = 480091772160. Its totient is φ = 80649849600.

The previous prime is 204053444197. The next prime is 204053444201. The reversal of 204053444200 is 2444350402.

It is not an unprimeable number, because it can be changed into a prime (204053444201) 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 23 ways as a sum of consecutive naturals, for example, 9485857 + ... + 9507343.

It is an arithmetic number, because the mean of its divisors is an integer number (5000955960).

Almost surely, 2204053444200 is an apocalyptic number.

204053444200 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 204053444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240045886080).

204053444200 is an abundant number, since it is smaller than the sum of its proper divisors (276038327960).

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

204053444200 is a wasteful number, since it uses less digits than its factorization.

204053444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 204053444200 its reverse (2444350402), we get a palindrome (206497794602).

The spelling of 204053444200 in words is "two hundred four billion, fifty-three million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 461 515 824 922 1030 1844 2060 2305 2575 3688 4120 4610 5150 9220 10300 11525 18440 20600 21487 23050 42974 46100 47483 85948 92200 94966 107435 171896 189932 214870 237415 379864 429740 474830 537175 859480 949660 1074350 1187075 1899320 2148700 2213161 2374150 4297400 4426322 4748300 8852644 9496600 9905507 11065805 17705288 19811014 22131610 39622028 44263220 49527535 55329025 79244056 88526440 99055070 110658050 198110140 221316100 247637675 396220280 442632200 495275350 990550700 1020267221 1981101400 2040534442 4081068884 5101336105 8162137768 10202672210 20405344420 25506680525 40810688840 51013361050 102026722100 204053444200