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200993366200 = 235211247176713
BaseRepresentation
bin1011101100110000100…
…0110110000010111000
3201012210120110220202011
42323030020312002320
511243113300204300
6232200213215304
720343542265244
oct2731410660270
9635716426664
10200993366200
1178271573a00
1232b54331534
1315c52075a23
149a29dc3424
155365794eba
hex2ecc2360b8

200993366200 has 144 divisors (see below), whose sum is σ = 524586111840. Its totient is φ = 71533017600.

The previous prime is 200993366131. The next prime is 200993366201. The reversal of 200993366200 is 2663399002.

200993366200 = T191160 + T191161 + ... + T191170.

200993366200 is digitally balanced in base 3, 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200993366201) 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 35 ways as a sum of consecutive naturals, for example, 1049044 + ... + 1225756.

It is an arithmetic number, because the mean of its divisors is an integer number (3642959110).

Almost surely, 2200993366200 is an apocalyptic number.

200993366200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200993366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262293055920).

200993366200 is an abundant number, since it is smaller than the sum of its proper divisors (323592745640).

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

200993366200 is a wasteful number, since it uses less digits than its factorization.

200993366200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176798 (or 176778 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The spelling of 200993366200 in words is "two hundred billion, nine hundred ninety-three million, three hundred sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 121 188 200 220 235 242 275 376 440 470 484 517 550 605 940 968 1034 1100 1175 1210 1880 2068 2200 2350 2420 2585 3025 4136 4700 4840 5170 5687 6050 9400 10340 11374 12100 12925 20680 22748 24200 25850 28435 45496 51700 56870 103400 113740 142175 176713 227480 284350 353426 568700 706852 883565 1137400 1413704 1767130 1943843 3534260 3887686 4417825 7068520 7775372 8305511 8835650 9719215 15550744 16611022 17671300 19438430 21382273 33222044 35342600 38876860 41527555 42764546 48596075 66444088 77753720 83055110 85529092 91360621 97192150 106911365 166110220 171058184 182721242 194384300 207637775 213822730 332220440 365442484 388768600 415275550 427645460 456803105 534556825 730884968 830551100 855290920 913606210 1004966831 1069113650 1661102200 1827212420 2009933662 2138227300 2284015525 3654424840 4019867324 4276454600 4568031050 5024834155 8039734648 9136062100 10049668310 18272124200 20099336620 25124170775 40198673240 50248341550 100496683100 200993366200