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204422442400 = 25521123229823
BaseRepresentation
bin1011111001100010000…
…1101110110110100000
3201112122112220000222101
42332120201232312200
511322124121124100
6233524350220144
720524531043041
oct2763041566640
9645575800871
10204422442400
1179771159680
12337507b4654
131637a60c1b7
149c7359c8c8
1554b684286a
hex2f9886eda0

204422442400 has 72 divisors (see below), whose sum is σ = 544414155264. Its totient is φ = 74335430400.

The previous prime is 204422442397. The next prime is 204422442439. The reversal of 204422442400 is 4244224402.

204422442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11606112 + ... + 11623711.

It is an arithmetic number, because the mean of its divisors is an integer number (7561307712).

Almost surely, 2204422442400 is an apocalyptic number.

204422442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204422442400 is an abundant number, since it is smaller than the sum of its proper divisors (339991712864).

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

204422442400 is a wasteful number, since it uses less digits than its factorization.

204422442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229854 (or 23229841 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 204422442400 its reverse (4244224402), we get a palindrome (208666666802).

The spelling of 204422442400 in words is "two hundred four billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 23229823 46459646 92919292 116149115 185838584 232298230 255528053 371677168 464596460 511056106 580745575 743354336 929192920 1022112212 1161491150 1277640265 1858385840 2044224424 2322982300 2555280530 3716771680 4088448848 4645964600 5110561060 6388201325 8176897696 9291929200 10221122120 12776402650 18583858400 20442244240 25552805300 40884488480 51105610600 102211221200 204422442400