Search a number
-
+
335216652150 = 235223257378071
BaseRepresentation
bin1001110000011000111…
…10000010111101110110
31012001020211021022120010
410320030132002331312
520443010430332100
6413555120121050
733134660346522
oct4701436027566
91161224238503
10335216652150
1111a18a0742a6
1254b73466186
13257c2bba213
1412320326d82
158abe287750
hex4e0c782f76

335216652150 has 96 divisors (see below), whose sum is σ = 870860118528. Its totient is φ = 85171609600.

The previous prime is 335216652131. The next prime is 335216652157. The reversal of 335216652150 is 51256612533.

It is a super-2 number, since 2×3352166521502 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 335216652099 and 335216652108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335216652157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697615 + ... + 1075685.

It is an arithmetic number, because the mean of its divisors is an integer number (9071459568).

Almost surely, 2335216652150 is an apocalyptic number.

335216652150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 335216652150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435430059264).

335216652150 is an abundant number, since it is smaller than the sum of its proper divisors (535643466378).

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

335216652150 is a wasteful number, since it uses less digits than its factorization.

335216652150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378366 (or 378361 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 335216652150 in words is "three hundred thirty-five billion, two hundred sixteen million, six hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 257 345 514 575 690 771 1150 1285 1542 1725 2570 3450 3855 5911 6425 7710 11822 12850 17733 19275 29555 35466 38550 59110 88665 147775 177330 295550 378071 443325 756142 886650 1134213 1890355 2268426 3780710 5671065 8695633 9451775 11342130 17391266 18903550 26086899 28355325 43478165 52173798 56710650 86956330 97164247 130434495 194328494 217390825 260868990 291492741 434781650 485821235 582985482 652172475 971642470 1304344950 1457463705 2234777681 2429106175 2914927410 4469555362 4858212350 6704333043 7287318525 11173888405 13408666086 14574637050 22347776810 33521665215 55869442025 67043330430 111738884050 167608326075 335216652150