Search a number
-
+
2331043120 = 245719219083
BaseRepresentation
bin1000101011110000…
…1110010100110000
320000110021021000101
42022330032110300
514233221334440
61023150202144
7111523353040
oct21274162460
96013237011
102331043120
11a968a421a
125507b3354
132b1c23b73
1418182d720
15d99a469a
hex8af0e530

2331043120 has 80 divisors (see below), whose sum is σ = 6519939840. Its totient is φ = 757147392.

The previous prime is 2331043079. The next prime is 2331043147. The reversal of 2331043120 is 213401332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98902 + ... + 120181.

It is an arithmetic number, because the mean of its divisors is an integer number (81499248).

Almost surely, 22331043120 is an apocalyptic number.

2331043120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331043120 is an abundant number, since it is smaller than the sum of its proper divisors (4188896720).

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

2331043120 is a wasteful number, since it uses less digits than its factorization.

2331043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219122 (or 219116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2331043120 is about 48280.8773739666. The cubic root of 2331043120 is about 1325.9183134420.

Adding to 2331043120 its reverse (213401332), we get a palindrome (2544444452).

It can be divided in two parts, 23310 and 43120, that added together give a triangular number (66430 = T364).

The spelling of 2331043120 in words is "two billion, three hundred thirty-one million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 219083 438166 876332 1095415 1533581 1752664 2190830 3067162 3505328 4162577 4381660 6134324 7667905 8325154 8763320 12268648 15335810 16650308 17526640 20812885 24537296 29138039 30671620 33300616 41625770 58276078 61343240 66601232 83251540 116552156 122686480 145690195 166503080 233104312 291380390 333006160 466208624 582760780 1165521560 2331043120