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2212021200200 = 23527332245207
BaseRepresentation
bin100000001100000110101…
…111001110010101001000
321211110121120010210000112
4200030012233032111020
5242220204411401300
64412104415053452
7315545642654000
oct40140657162510
97743546123015
102212021200200
11783127333689
122b8855511288
1313079222b856
14790c330b000
153c8169ade35
hex20306bce548

2212021200200 has 96 divisors (see below), whose sum is σ = 5997608688000. Its totient is φ = 758407245120.

The previous prime is 2212021200133. The next prime is 2212021200209. The reversal of 2212021200200 is 20021202122.

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

It is not an unprimeable number, because it can be changed into a prime (2212021200209) 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 23 ways as a sum of consecutive naturals, for example, 16054004 + ... + 16191203.

It is an arithmetic number, because the mean of its divisors is an integer number (62475090500).

Almost surely, 22212021200200 is an apocalyptic number.

2212021200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212021200200 is an abundant number, since it is smaller than the sum of its proper divisors (3785587487800).

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

2212021200200 is a wasteful number, since it uses less digits than its factorization.

2212021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32245244 (or 32245221 counting only the distinct ones).

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

Adding to 2212021200200 its reverse (20021202122), we get a palindrome (2232042402322).

The spelling of 2212021200200 in words is "two trillion, two hundred twelve billion, twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 34300 68600 32245207 64490414 128980828 161226035 225716449 257961656 322452070 451432898 644904140 806130175 902865796 1128582245 1289808280 1580015143 1612260350 1805731592 2257164490 3160030286 3224520700 4514328980 5642911225 6320060572 6449041400 7900075715 9028657960 11060106001 11285822450 12640121144 15800151430 22120212002 22571644900 31600302860 39500378575 44240424004 45143289800 55300530005 63200605720 79000757150 88480848008 110601060010 158001514300 221202120020 276502650025 316003028600 442404240040 553005300050 1106010600100 2212021200200