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22001112200200 = 23527217132059497
BaseRepresentation
bin1010000000010100010000…
…11110100011010000001000
32212220021201100002222110211
411000022020132203100020
510340431234210401300
6114443101005250504
74430346033045100
oct500121036432010
985807640088424
1022001112200200
11701268a2a6341
122573b67b63a34
13c379080aac23
14560c06704200
152824758094ba
hex1402887a3408

22001112200200 has 144 divisors (see below), whose sum is σ = 63004265900820. Its totient is φ = 7099518504960.

The previous prime is 22001112200173. The next prime is 22001112200219. The reversal of 22001112200200 is 200221110022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18285185149924 + 3715927050276 = 4276118^2 + 1927674^2 .

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, 65863149 + ... + 66196348.

Almost surely, 222001112200200 is an apocalyptic number.

22001112200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001112200200 is an abundant number, since it is smaller than the sum of its proper divisors (41003153700620).

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

22001112200200 is a wasteful number, since it uses less digits than its factorization.

22001112200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132059544 (or 132059528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22001112200200 its reverse (200221110022), we get a palindrome (22201333310222).

The spelling of 22001112200200 in words is "twenty-two trillion, one billion, one hundred twelve million, two hundred 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 132059497 264118994 528237988 660297485 924416479 1056475976 1320594970 1848832958 2245011449 2641189940 3301487425 3697665916 4490022898 4622082395 5282379880 6470915353 6602974850 7395331832 8980045796 9244164790 11225057245 12941830706 13205949700 15715080143 17960091592 18488329580 22450114490 23110411975 25883661412 26411899400 31430160286 32354576765 36976659160 44900228980 46220823950 51767322824 56125286225 62860320572 64709153530 78575400715 89800457960 92441647900 110005561001 112250572450 125720641144 129418307060 157150801430 161772883825 184883295800 220011122002 224501144900 258836614120 314301602860 323545767650 392877003575 440022244004 449002289800 550027805005 628603205720 647091535300 785754007150 880044488008 1100055610010 1294183070600 1571508014300 2200111220020 2750139025025 3143016028600 4400222440040 5500278050050 11000556100100 22001112200200