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2212002001000 = 235311434676537
BaseRepresentation
bin100000001100000101100…
…101111111000001101000
321211110120020000100200001
4200030011211333001220
5242220140003013000
64412102451352344
7315545320531441
oct40140545770150
97743506010601
102212002001000
1178311750aa80
122b884abb26b4
1313078b268a8c
14790c09502c8
153c814e6a46a
hex2030597f068

2212002001000 has 128 divisors (see below), whose sum is σ = 5777956229760. Its totient is φ = 785658048000.

The previous prime is 2212002000977. The next prime is 2212002001003. The reversal of 2212002001000 is 1002002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2212002001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865269 + ... + 2811268.

It is an arithmetic number, because the mean of its divisors is an integer number (45140283045).

Almost surely, 22212002001000 is an apocalyptic number.

2212002001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212002001000 is an abundant number, since it is smaller than the sum of its proper divisors (3565954228760).

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

2212002001000 is a wasteful number, since it uses less digits than its factorization.

2212002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676612 (or 4676598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2212002001000 its reverse (1002002122), we get a palindrome (2213004003122).

The spelling of 2212002001000 in words is "two trillion, two hundred twelve billion, two million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4300 4730 5375 5500 8600 9460 10750 11000 11825 18920 21500 23650 43000 47300 59125 94600 118250 236500 473000 4676537 9353074 18706148 23382685 37412296 46765370 51441907 93530740 102883814 116913425 187061480 201091091 205767628 233826850 257209535 402182182 411535256 467653700 514419070 584567125 804364364 935307400 1005455455 1028838140 1169134250 1286047675 1608728728 2010910910 2057676280 2212002001 2338268500 2572095350 4021821820 4424004002 4676537000 5027277275 5144190700 6430238375 8043643640 8848008004 10054554550 10288381400 11060010005 12860476750 17696016008 20109109100 22120020010 25136386375 25720953500 40218218200 44240040020 50272772750 51441907000 55300050025 88480080040 100545545500 110600100050 201091091000 221200200100 276500250125 442400400200 553000500250 1106001000500 2212002001000