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200201201022200 = 23527172494812657
BaseRepresentation
bin101101100001010011111001…
…011110000111010011111000
3222020212001021220211222210112
4231201103321132013103320
5202220044024430202300
61545443055001403452
760112026251635130
oct5541237136072370
9866761256758715
10200201201022200
1158876941819284
121a554401199588
138792b7a36c881
143761b0b41dac0
151822a5cba1e35
hexb614f97874f8

200201201022200 has 144 divisors (see below), whose sum is σ = 565095847942320. Its totient is φ = 64602740367360.

The previous prime is 200201201022197. The next prime is 200201201022241. The reversal of 200201201022200 is 2220102102002.

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

It is a congruent number.

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, 247001729 + ... + 247810928.

Almost surely, 2200201201022200 is an apocalyptic number.

200201201022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201201022200 is an abundant number, since it is smaller than the sum of its proper divisors (364894646920120).

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

200201201022200 is a wasteful number, since it uses less digits than its factorization.

200201201022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494812714 (or 494812688 counting only the distinct ones).

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

Adding to 200201201022200 its reverse (2220102102002), we get a palindrome (202421303124202).

The spelling of 200201201022200 in words is "two hundred trillion, two hundred one billion, two hundred one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 289 340 350 425 476 578 595 680 700 850 952 1156 1190 1400 1445 1700 2023 2312 2380 2890 2975 3400 4046 4760 5780 5950 7225 8092 10115 11560 11900 14450 16184 20230 23800 28900 40460 50575 57800 80920 101150 202300 404600 494812657 989625314 1979250628 2474063285 3463688599 3958501256 4948126570 6927377198 8411815169 9896253140 12370316425 13854754396 16823630338 17318442995 19792506280 24740632850 27709508792 33647260676 34636885990 42059075845 49481265700 58882706183 67294521352 69273771980 84118151690 86592214975 98962531400 117765412366 138547543960 143000857873 168236303380 173184429950 210295379225 235530824732 286001715746 294413530915 336472606760 346368859900 420590758450 471061649464 572003431492 588827061830 692737719800 715004289365 841181516900 1001006005111 1144006862984 1177654123660 1430008578730 1472067654575 1682363033800 2002012010222 2355308247320 2860017157460 2944135309150 3575021446825 4004024020444 5005030025555 5720034314920 5888270618300 7150042893650 8008048040888 10010060051110 11776541236600 14300085787300 20020120102220 25025150127775 28600171574600 40040240204440 50050300255550 100100600511100 200201201022200