Search a number
-
+
2838191190 = 2353712012129
BaseRepresentation
bin1010100100101011…
…0101110001010110
321022210120001101020
42221022311301112
521303034104230
61145344142010
7130222140612
oct25112656126
97283501336
102838191190
1112270a305a
12672607906
1336300c693
141ccd26342
15119280810
hexa92b5c56

2838191190 has 64 divisors (see below), whose sum is σ = 7004871360. Its totient is φ = 735436800.

The previous prime is 2838191189. The next prime is 2838191201. The reversal of 2838191190 is 911918382.

2838191190 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-2 number, since 2×28381911902 = 16110658461987232200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332046 + ... + 1334174.

It is an arithmetic number, because the mean of its divisors is an integer number (109451115).

Almost surely, 22838191190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838191190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502435680).

2838191190 is an abundant number, since it is smaller than the sum of its proper divisors (4166680170).

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

2838191190 is a wasteful number, since it uses less digits than its factorization.

2838191190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377.

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 2838191190 is about 53274.6768174149. The cubic root of 2838191190 is about 1415.8390375702.

The spelling of 2838191190 in words is "two billion, eight hundred thirty-eight million, one hundred ninety-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1201 2129 2402 3603 4258 6005 6387 7206 10645 12010 12774 18015 21290 31935 36030 44437 63870 78773 88874 133311 157546 222185 236319 266622 393865 444370 472638 666555 787730 1181595 1333110 2363190 2556929 5113858 7670787 12784645 15341574 25569290 38353935 76707870 94606373 189212746 283819119 473031865 567638238 946063730 1419095595 2838191190