Search a number
-
+
200002212030 = 23537797513037
BaseRepresentation
bin1011101001000100001…
…1111001000010111110
3201010020111110001211110
42322101003321002332
511234101031241110
6231514005302450
720310145516035
oct2722103710276
9633214401743
10200002212030
1177903042125
1232918404a26
1315b24914c7a
1499744d971c
15530875ea20
hex2e910f90be

200002212030 has 128 divisors (see below), whose sum is σ = 500047994880. Its totient is φ = 51150528000.

The previous prime is 200002211999. The next prime is 200002212031. The reversal of 200002212030 is 30212200002.

200002212030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200002211997 and 200002212015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200002212031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65853672 + ... + 65856708.

It is an arithmetic number, because the mean of its divisors is an integer number (3906624960).

Almost surely, 2200002212030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002212030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250023997440).

200002212030 is an abundant number, since it is smaller than the sum of its proper divisors (300045782850).

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

200002212030 is a wasteful number, since it uses less digits than its factorization.

200002212030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 200002212030 its reverse (30212200002), we get a palindrome (230214412032).

The spelling of 200002212030 in words is "two hundred billion, two million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 79 111 158 185 222 237 370 395 474 555 751 790 1110 1185 1502 2253 2370 2923 3037 3755 4506 5846 6074 7510 8769 9111 11265 14615 15185 17538 18222 22530 27787 29230 30370 43845 45555 55574 59329 83361 87690 91110 112369 118658 138935 166722 177987 224738 239923 277870 296645 337107 355974 416805 479846 561845 593290 674214 719769 833610 889935 1123690 1199615 1439538 1685535 1779870 2195173 2280787 2399230 3371070 3598845 4390346 4561574 6585519 6842361 7197690 8877151 10975865 11403935 13171038 13684722 17754302 21951730 22807870 26631453 32927595 34211805 44385755 53262906 65855190 68423610 84389119 88771510 133157265 168778238 180182173 253167357 266314530 360364346 421945595 506334714 540546519 843891190 900910865 1081093038 1265836785 1801821730 2531673570 2702732595 5405465190 6666740401 13333480802 20000221203 33333702005 40000442406 66667404010 100001106015 200002212030