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200993550 = 235217232149
BaseRepresentation
bin10111111101011…
…10101100001110
3112000012112022120
423332232230032
5402423243200
631535553410
74660263012
oct1376565416
9460175276
10200993550
11a350147a
125738b866
13328445c4
141c9a0542
15129a39a0
hexbfaeb0e

200993550 has 144 divisors (see below), whose sum is σ = 555433200. Its totient is φ = 47928320.

The previous prime is 200993549. The next prime is 200993561. The reversal of 200993550 is 55399002.

200993550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1348876 + ... + 1349024.

It is an arithmetic number, because the mean of its divisors is an integer number (3857175).

Almost surely, 2200993550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200993550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277716600).

200993550 is an abundant number, since it is smaller than the sum of its proper divisors (354439650).

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

200993550 is a wasteful number, since it uses less digits than its factorization.

200993550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 200993550 is about 14177.2194029718. The cubic root of 200993550 is about 585.7703344284.

It can be divided in two parts, 2009 and 93550, that added together give a palindrome (95559).

The spelling of 200993550 in words is "two hundred million, nine hundred ninety-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 23 25 30 34 46 50 51 69 75 85 102 115 138 149 150 170 230 255 298 345 391 425 447 510 529 575 690 745 782 850 894 1058 1150 1173 1275 1490 1587 1725 1955 2235 2346 2533 2550 2645 3174 3427 3450 3725 3910 4470 5066 5290 5865 6854 7450 7599 7935 8993 9775 10281 11175 11730 12665 13225 15198 15870 17135 17986 19550 20562 22350 25330 26450 26979 29325 34270 37995 39675 44965 51405 53958 58259 58650 63325 75990 78821 79350 85675 89930 102810 116518 126650 134895 157642 171350 174777 189975 224825 236463 257025 269790 291295 349554 379950 394105 449650 472926 514050 582590 674475 788210 873885 1182315 1339957 1348950 1456475 1747770 1970525 2364630 2679914 2912950 3941050 4019871 4369425 5911575 6699785 8039742 8738850 11823150 13399570 20099355 33498925 40198710 66997850 100496775 200993550