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2030311200 = 253522336781
BaseRepresentation
bin111100100000100…
…0001011100100000
312020111101111101010
41321001001130200
513124224424300
6533244340520
7101212234431
oct17101013440
95214344333
102030311200
1195206a945
12487b44740
1326482ab98
14153909488
15bd39da50
hex79041720

2030311200 has 144 divisors (see below), whose sum is σ = 6896183616. Its totient is φ = 517862400.

The previous prime is 2030311189. The next prime is 2030311271. The reversal of 2030311200 is 21130302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36810 + ... + 73590.

It is an arithmetic number, because the mean of its divisors is an integer number (47890164).

Almost surely, 22030311200 is an apocalyptic number.

2030311200 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 2030311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448091808).

2030311200 is an abundant number, since it is smaller than the sum of its proper divisors (4865872416).

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

2030311200 is a wasteful number, since it uses less digits than its factorization.

2030311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36827 (or 36814 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2030311200 is about 45058.9746887343. The cubic root of 2030311200 is about 1266.2541161865.

Adding to 2030311200 its reverse (21130302), we get a palindrome (2051441502).

The spelling of 2030311200 in words is "two billion, thirty million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 36781 55200 73562 110343 147124 183905 220686 294248 367810 441372 551715 588496 735620 845963 882744 919525 1103430 1176992 1471240 1691926 1765488 1839050 2206860 2537889 2758575 2942480 3383852 3530976 3678100 4229815 4413720 5075778 5517150 5884960 6767704 7356200 8459630 8827440 10151556 11034300 12689445 13535408 14712400 16919260 17654880 20303112 21149075 22068600 25378890 27070816 29424800 33838520 40606224 42298150 44137200 50757780 63447225 67677040 81212448 84596300 88274400 101515560 126894450 135354080 169192600 203031120 253788900 338385200 406062240 507577800 676770400 1015155600 2030311200