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830052270 = 232589173599
BaseRepresentation
bin110001011110011…
…001011110101110
32010211220000122200
4301132121132232
53144443133040
6214210522330
726366220315
oct6136313656
92124800580
10830052270
113965a7613
121b1b963a6
13102c758b8
147c34d27c
154cd11630
hex317997ae

830052270 has 96 divisors (see below), whose sum is σ = 2198664000. Its totient is φ = 217231872.

The previous prime is 830052269. The next prime is 830052281. The reversal of 830052270 is 72250038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385431 + ... + 1386029.

It is an arithmetic number, because the mean of its divisors is an integer number (22902750).

Almost surely, 2830052270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830052270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099332000).

830052270 is an abundant number, since it is smaller than the sum of its proper divisors (1368611730).

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

830052270 is a wasteful number, since it uses less digits than its factorization.

830052270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 830052270 is about 28810.6277265873. The cubic root of 830052270 is about 939.7993649051.

The spelling of 830052270 in words is "eight hundred thirty million, fifty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 173 178 267 346 445 519 534 599 801 865 890 1038 1198 1335 1557 1602 1730 1797 2595 2670 2995 3114 3594 4005 5190 5391 5990 7785 8010 8985 10782 15397 15570 17970 26955 30794 46191 53311 53910 76985 92382 103627 106622 138573 153970 159933 207254 230955 266555 277146 310881 319866 461910 479799 518135 533110 621762 692865 799665 932643 959598 1036270 1385730 1554405 1599330 1865286 2398995 3108810 4663215 4797990 9222803 9326430 18445606 27668409 46114015 55336818 83005227 92228030 138342045 166010454 276684090 415026135 830052270