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2834221040 = 245729612861
BaseRepresentation
bin1010100011101110…
…1100011111110000
321022112002100100122
42220323230133300
521301030033130
61145123105412
7130143324050
oct25073543760
97275070318
102834221040
111224931242
12671212268
1336224c591
141cc5b1560
15118c492e5
hexa8eec7f0

2834221040 has 160 divisors (see below), whose sum is σ = 7921100160. Its totient is φ = 922521600.

The previous prime is 2834221001. The next prime is 2834221043. The reversal of 2834221040 is 401224382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834221043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989210 + ... + 992070.

It is an arithmetic number, because the mean of its divisors is an integer number (49506876).

Almost surely, 22834221040 is an apocalyptic number.

2834221040 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 2834221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960550080).

2834221040 is an abundant number, since it is smaller than the sum of its proper divisors (5086879120).

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

2834221040 is a wasteful number, since it uses less digits than its factorization.

2834221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2834221040 is about 53237.4026413761. The cubic root of 2834221040 is about 1415.1785562984.

The spelling of 2834221040 in words is "two billion, eight hundred thirty-four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 61 70 80 112 116 122 140 145 203 232 244 280 290 305 406 427 464 488 560 580 610 812 854 976 1015 1160 1220 1624 1708 1769 2030 2135 2320 2440 2861 3248 3416 3538 4060 4270 4880 5722 6832 7076 8120 8540 8845 11444 12383 14152 14305 16240 17080 17690 20027 22888 24766 28304 28610 34160 35380 40054 45776 49532 57220 61915 70760 80108 82969 99064 100135 114440 123830 141520 160216 165938 174521 198128 200270 228880 247660 320432 331876 349042 400540 414845 495320 580783 663752 698084 801080 829690 872605 990640 1161566 1221647 1327504 1396168 1602160 1659380 1745210 2323132 2443294 2792336 2903915 3318760 3490420 4646264 4886588 5061109 5807830 6108235 6637520 6980840 9292528 9773176 10122218 11615660 12216470 13961680 19546352 20244436 23231320 24432940 25305545 35427763 40488872 46462640 48865880 50611090 70855526 80977744 97731760 101222180 141711052 177138815 202444360 283422104 354277630 404888720 566844208 708555260 1417110520 2834221040