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200022012012200 = 235272171200612317
BaseRepresentation
bin101101011110101101000000…
…111110010010011010101000
3222020012220202221010010200112
4231132231000332102122220
5202204130040033342300
61545224502131153452
760063053631323300
oct5536550076223250
9866186687103615
10200022012012200
115880794a243974
121a525733145888
13877bcc1758581
14375718d210600
15181d071791e35
hexb5eb40f926a8

200022012012200 has 144 divisors (see below), whose sum is σ = 572800130794620. Its totient is φ = 64544918108160.

The previous prime is 200022012012169. The next prime is 200022012012233. The reversal of 200022012012200 is 2210210220002.

200022012012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 70238378535556 + 129783633476644 = 8380834^2 + 11392262^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600139559 + ... + 600472758.

Almost surely, 2200022012012200 is an apocalyptic number.

200022012012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022012012200 is an abundant number, since it is smaller than the sum of its proper divisors (372778118782420).

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

200022012012200 is a wasteful number, since it uses less digits than its factorization.

200022012012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200612364 (or 1200612348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200022012012200 its reverse (2210210220002), we get a palindrome (202232222232202).

The spelling of 200022012012200 in words is "two hundred trillion, twenty-two billion, twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 136 140 170 175 196 200 238 245 280 340 350 392 425 476 490 595 680 700 833 850 952 980 1190 1225 1400 1666 1700 1960 2380 2450 2975 3332 3400 4165 4760 4900 5950 6664 8330 9800 11900 16660 20825 23800 33320 41650 83300 166600 1200612317 2401224634 4802449268 6003061585 8404286219 9604898536 12006123170 16808572438 20410409389 24012246340 30015307925 33617144876 40820818778 42021431095 48024492680 58830003533 60030615850 67234289752 81641637556 84042862190 102052046945 117660007066 120061231700 142872865723 163283275112 168085724380 204104093890 210107155475 235320014132 240122463400 285745731446 294150017665 336171448760 408208187780 420214310950 470640028264 510260234725 571491462892 588300035330 714364328615 816416375560 840428621900 1000110060061 1020520469450 1142982925784 1176600070660 1428728657230 1470750088325 1680857243800 2000220120122 2041040938900 2353200141320 2857457314460 2941500176650 3571821643075 4000440240244 4082081877800 5000550300305 5714914628920 5883000353300 7143643286150 8000880480488 10001100600610 11766000706600 14287286572300 20002201201220 25002751501525 28574573144600 40004402402440 50005503003050 100011006006100 200022012012200