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200250540 = 2232571031543
BaseRepresentation
bin10111110111110…
…01010010101100
3111221210210002200
423323321102230
5402231004130
631512021500
74651046550
oct1373712254
9457723080
10200250540
11a3044216
1257091890
1332644359
141c849860
15128a8760
hexbef94ac

200250540 has 144 divisors (see below), whose sum is σ = 701395968. Its totient is φ = 45297792.

The previous prime is 200250511. The next prime is 200250541. The reversal of 200250540 is 45052002.

200250540 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 (18).

It is not an unprimeable number, because it can be changed into a prime (200250541) 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 47 ways as a sum of consecutive naturals, for example, 129009 + ... + 130551.

Almost surely, 2200250540 is an apocalyptic number.

200250540 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 200250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350697984).

200250540 is an abundant number, since it is smaller than the sum of its proper divisors (501145428).

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

200250540 is a wasteful number, since it uses less digits than its factorization.

200250540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 200250540 is about 14150.9907780339. The cubic root of 200250540 is about 585.0476402141.

The spelling of 200250540 in words is "two hundred million, two hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 103 105 126 140 180 206 210 252 309 315 412 420 515 618 630 721 927 1030 1236 1260 1442 1543 1545 1854 2060 2163 2884 3086 3090 3605 3708 4326 4629 4635 6172 6180 6489 7210 7715 8652 9258 9270 10801 10815 12978 13887 14420 15430 18516 18540 21602 21630 23145 25956 27774 30860 32403 32445 43204 43260 46290 54005 55548 64806 64890 69435 92580 97209 108010 129612 129780 138870 158929 162015 194418 216020 277740 317858 324030 388836 476787 486045 635716 648060 794645 953574 972090 1112503 1430361 1589290 1907148 1944180 2225006 2383935 2860722 3178580 3337509 4450012 4767870 5562515 5721444 6675018 7151805 9535740 10012527 11125030 13350036 14303610 16687545 20025054 22250060 28607220 33375090 40050108 50062635 66750180 100125270 200250540