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830230100 = 2252710111743
BaseRepresentation
bin110001011111000…
…100111001010100
32010212020001120222
4301133010321110
53200014330400
6214214413512
726400560630
oct6137047124
92125201528
10830230100
11396709187
121b2061298
1310300881b
147c397dc0
154cd49185
hex317c4e54

830230100 has 72 divisors (see below), whose sum is σ = 2079533568. Its totient is φ = 281808000.

The previous prime is 830230073. The next prime is 830230117. The reversal of 830230100 is 1032038.

830230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8302301003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64829 + ... + 76571.

Almost surely, 2830230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039766784).

830230100 is an abundant number, since it is smaller than the sum of its proper divisors (1249303468).

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

830230100 is a wasteful number, since it uses less digits than its factorization.

830230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 830230100 is about 28813.7137488384. The cubic root of 830230100 is about 939.8664741679.

Adding to 830230100 its reverse (1032038), we get a palindrome (831262138).

The spelling of 830230100 in words is "eight hundred thirty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 11743 14140 17675 23486 35350 46972 58715 70700 82201 117430 164402 234860 293575 328804 411005 587150 822010 1174300 1186043 1644020 2055025 2372086 4110050 4744172 5930215 8220100 8302301 11860430 16604602 23720860 29651075 33209204 41511505 59302150 83023010 118604300 166046020 207557525 415115050 830230100