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200990280232 = 237371034212237
BaseRepresentation
bin1011101100101111110…
…1000100101000101000
3201012210100200010121001
42323023331010220220
511243112002431412
6232200023124344
720343504123250
oct2731375045050
9635710603531
10200990280232
117826a856415
1232b532a36b4
1315c51535201
149a2981c960
155365385957
hex2ecbf44a28

200990280232 has 128 divisors (see below), whose sum is σ = 447889328640. Its totient is φ = 82762767360.

The previous prime is 200990280217. The next prime is 200990280397. The reversal of 200990280232 is 232082099002.

200990280232 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 (37).

It is a junction number, because it is equal to n+sod(n) for n = 200990280191 and 200990280200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89847018 + ... + 89849254.

It is an arithmetic number, because the mean of its divisors is an integer number (3499135380).

Almost surely, 2200990280232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200990280232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223944664320).

200990280232 is an abundant number, since it is smaller than the sum of its proper divisors (246899048408).

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

200990280232 is a wasteful number, since it uses less digits than its factorization.

200990280232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 200990280232 in words is "two hundred billion, nine hundred ninety million, two hundred eighty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 103 148 206 259 296 412 421 518 721 824 842 1036 1442 1684 2072 2237 2884 2947 3368 3811 4474 5768 5894 7622 8948 11788 15244 15577 15659 17896 23576 26677 30488 31154 31318 43363 53354 62308 62636 82769 86726 106708 109039 124616 125272 165538 173452 213416 218078 230411 303541 331076 346904 436156 460822 579383 607082 662152 872312 921644 941777 1158766 1214164 1604431 1612877 1843288 1883554 2317532 2428328 3208862 3225754 3767108 4635064 6417724 6451508 6592439 7534216 8525207 11231017 12835448 12903016 13184878 17050414 22462034 26369756 34100828 34845749 44924068 52739512 59676449 68201656 69691498 89848136 97003031 119352898 139382996 194006062 238705796 243920243 278765992 388012124 477411592 487840486 679021217 776024248 975680972 1358042434 1951361944 2716084868 3589112147 5432169736 7178224294 14356448588 25123785029 28712897176 50247570058 100495140116 200990280232