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800930214 = 2337171131103
BaseRepresentation
bin101111101111010…
…011100110100110
32001211002110201000
4233233103212212
53120014231324
6211250414130
725563536340
oct5757234646
92054073630
10800930214
113811167a7
121a4291346
13c9c1a406
147852c290
154a4ac9c9
hex2fbd39a6

800930214 has 128 divisors (see below), whose sum is σ = 2174791680. Its totient is φ = 213276672.

The previous prime is 800930213. The next prime is 800930227. The reversal of 800930214 is 412039008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800930213) 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, 725587 + ... + 726689.

It is an arithmetic number, because the mean of its divisors is an integer number (16990560).

Almost surely, 2800930214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800930214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087395840).

800930214 is an abundant number, since it is smaller than the sum of its proper divisors (1373861466).

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

800930214 is a wasteful number, since it uses less digits than its factorization.

800930214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 800930214 is about 28300.7104857811. The cubic root of 800930214 is about 928.6774332653.

The spelling of 800930214 in words is "eight hundred million, nine hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 113 119 126 153 189 226 238 306 339 357 378 459 678 714 791 918 1017 1071 1103 1582 1921 2034 2142 2206 2373 3051 3213 3309 3842 4746 5763 6102 6426 6618 7119 7721 9927 11526 13447 14238 15442 17289 18751 19854 21357 23163 26894 29781 34578 37502 40341 42714 46326 51867 56253 59562 69489 80682 103734 112506 121023 124639 131257 138978 168759 208467 242046 249278 262514 337518 363069 373917 393771 416934 506277 726138 747834 787542 872473 1012554 1121751 1181313 1744946 2118863 2243502 2362626 2617419 3365253 3543939 4237726 5234838 6356589 6730506 7087878 7852257 12713178 14832041 15704514 19069767 23556771 29664082 38139534 44496123 47113542 57209301 88992246 114418602 133488369 266976738 400465107 800930214