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200211302304 = 25321353475241
BaseRepresentation
bin1011101001110110000…
…1100000011110100000
3201010210001212221202200
42322131201200132200
511240013043133204
6231550435013200
720315264663466
oct2723541403640
9633701787680
10200211302304
1177a00073802
123297643a200
1315b59032a20
1499941a6836
15531bcb2539
hex2e9d8607a0

200211302304 has 72 divisors (see below), whose sum is σ = 613147124772. Its totient is φ = 61603476480.

The previous prime is 200211302281. The next prime is 200211302363. The reversal of 200211302304 is 403203112002.

It can be written as a sum of positive squares in 2 ways, for example, as 198962386704 + 1248915600 = 446052^2 + 35340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26733877 + ... + 26741364.

Almost surely, 2200211302304 is an apocalyptic number.

200211302304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200211302304 is an abundant number, since it is smaller than the sum of its proper divisors (412935822468).

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

200211302304 is a wasteful number, since it uses less digits than its factorization.

200211302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53475270 (or 53475259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200211302304 its reverse (403203112002), we get a palindrome (603414414306).

The spelling of 200211302304 in words is "two hundred billion, two hundred eleven million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 53475241 106950482 160425723 213900964 320851446 427801928 481277169 641702892 695178133 855603856 962554338 1283405784 1390356266 1711207712 1925108676 2085534399 2566811568 2780712532 3850217352 4171068798 5133623136 5561425064 6256603197 7700434704 8342137596 11122850128 12513206394 15400869408 16684275192 22245700256 25026412788 33368550384 50052825576 66737100768 100105651152 200211302304