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2830233300 = 2235282111491
BaseRepresentation
bin1010100010110001…
…1110111011010100
321022020120202012120
42220230132323110
521244014431200
61144501415540
7130064405016
oct25054367324
97266522176
102830233300
111222658194
1266ba0a5b0
1336148447b
141cbc541b6
1511870c9a0
hexa8b1eed4

2830233300 has 72 divisors (see below), whose sum is σ = 8199496032. Its totient is φ = 753744000.

The previous prime is 2830233271. The next prime is 2830233313. The reversal of 2830233300 is 33320382.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240555 + ... + 252045.

Almost surely, 22830233300 is an apocalyptic number.

2830233300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099748016).

2830233300 is an abundant number, since it is smaller than the sum of its proper divisors (5369262732).

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

2830233300 is a wasteful number, since it uses less digits than its factorization.

2830233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12329 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2830233300 is about 53199.9370300379. The cubic root of 2830233300 is about 1414.5145275278.

Adding to 2830233300 its reverse (33320382), we get a palindrome (2863553682).

The spelling of 2830233300 in words is "two billion, eight hundred thirty million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 821 1642 2463 3284 4105 4926 8210 9852 11491 12315 16420 20525 22982 24630 34473 41050 45964 49260 57455 61575 68946 82100 114910 123150 137892 172365 229820 246300 287275 344730 574550 689460 861825 1149100 1723650 3447300 9434111 18868222 28302333 37736444 47170555 56604666 94341110 113209332 141511665 188682220 235852775 283023330 471705550 566046660 707558325 943411100 1415116650 2830233300