Search a number
-
+
2423122140 = 2235411636043
BaseRepresentation
bin1001000001101101…
…1110100011011100
320020212112100200110
42100123132203130
514430304402030
61040235530020
7114022125015
oct22033364334
96225470613
102423122140
11103387558a
125775b9910
132c80231aa
1418db5c00c
15e2ae21b0
hex906de8dc

2423122140 has 96 divisors (see below), whose sum is σ = 6994020096. Its totient is φ = 626434560.

The previous prime is 2423122133. The next prime is 2423122147. The reversal of 2423122140 is 412213242.

2423122140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2423122133) and next prime (2423122147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423122147) 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, 397959 + ... + 404001.

It is an arithmetic number, because the mean of its divisors is an integer number (72854376).

Almost surely, 22423122140 is an apocalyptic number.

2423122140 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 2423122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497010048).

2423122140 is an abundant number, since it is smaller than the sum of its proper divisors (4570897956).

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

2423122140 is a wasteful number, since it uses less digits than its factorization.

2423122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2423122140 is about 49225.2185368435. The cubic root of 2423122140 is about 1343.1518107906.

Adding to 2423122140 its reverse (412213242), we get a palindrome (2835335382).

The spelling of 2423122140 in words is "two billion, four hundred twenty-three million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 163 164 205 246 326 410 489 492 615 652 815 820 978 1230 1630 1956 2445 2460 3260 4890 6043 6683 9780 12086 13366 18129 20049 24172 26732 30215 33415 36258 40098 60430 66830 72516 80196 90645 100245 120860 133660 181290 200490 247763 362580 400980 495526 743289 985009 991052 1238815 1486578 1970018 2477630 2955027 2973156 3716445 3940036 4925045 4955260 5910054 7432890 9850090 11820108 14775135 14865780 19700180 29550270 40385369 59100540 80770738 121156107 161541476 201926845 242312214 403853690 484624428 605780535 807707380 1211561070 2423122140