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10222001220200 = 2352721194823759
BaseRepresentation
bin1001010010111111111011…
…0000000110101001101000
31100012012202211200201121012
42110233332300012221220
52314434124303021300
633423531133403052
72103341501521400
oct224577660065150
940165684621535
1010222001220200
113291143224630
121191113639488
13591c13635b93
14274a671cb800
1512ad6eb87435
hex94bfec06a68

10222001220200 has 144 divisors (see below), whose sum is σ = 30159645105600. Its totient is φ = 3186078268800.

The previous prime is 10222001220131. The next prime is 10222001220227. The reversal of 10222001220200 is 202210022201.

10222001220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 47304080 + ... + 47519679.

It is an arithmetic number, because the mean of its divisors is an integer number (209441979900).

Almost surely, 210222001220200 is an apocalyptic number.

10222001220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222001220200 is an abundant number, since it is smaller than the sum of its proper divisors (19937643885400).

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

10222001220200 is a wasteful number, since it uses less digits than its factorization.

10222001220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94823800 (or 94823784 counting only the distinct ones).

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

Adding to 10222001220200 its reverse (202210022201), we get a palindrome (10424211242401).

The spelling of 10222001220200 in words is "ten trillion, two hundred twenty-two billion, one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 94823759 189647518 379295036 474118795 663766313 758590072 948237590 1043061349 1327532626 1896475180 2086122698 2370593975 2655065252 3318831565 3792950360 4172245396 4646364191 4741187950 5215306745 5310130504 6637663130 7301429443 8344490792 9292728382 9482375900 10430613490 13275326260 14602858886 16594157825 18585456764 18964751800 20861226980 23231820955 26076533725 26550652520 29205717772 33188315650 36507147215 37170913528 41722453960 46463641910 51110006101 52153067450 58411435544 66376631300 73014294430 92927283820 102220012202 104306134900 116159104775 132753262600 146028588860 182535736075 185854567640 204440024404 208612269800 232318209550 255550030505 292057177720 365071472150 408880048808 464636419100 511100061010 730142944300 929272838200 1022200122020 1277750152525 1460285888600 2044400244040 2555500305050 5111000610100 10222001220200