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2412143220 = 2235374312521
BaseRepresentation
bin1000111111000110…
…0110001001110100
320020002212120102210
42033301212021310
514420002040340
61035204333420
7113526610344
oct21761461164
96202776383
102412143220
1110286569a3
125739a4270
132c597aba6
1418c500d24
15e1b74180
hex8fc66274

2412143220 has 96 divisors (see below), whose sum is σ = 6955393536. Its totient is φ = 624153600.

The previous prime is 2412143219. The next prime is 2412143231. The reversal of 2412143220 is 223412142.

2412143220 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 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, 955560 + ... + 958080.

It is an arithmetic number, because the mean of its divisors is an integer number (72452016).

Almost surely, 22412143220 is an apocalyptic number.

2412143220 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 2412143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477696768).

2412143220 is an abundant number, since it is smaller than the sum of its proper divisors (4543250316).

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

2412143220 is a wasteful number, since it uses less digits than its factorization.

2412143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2999 counting only the distinct ones).

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

The square root of 2412143220 is about 49113.5747019090. The cubic root of 2412143220 is about 1341.1201778986.

Adding to 2412143220 its reverse (223412142), we get a palindrome (2635555362).

The spelling of 2412143220 in words is "two billion, four hundred twelve million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 431 444 555 740 862 1110 1293 1724 2155 2220 2521 2586 4310 5042 5172 6465 7563 8620 10084 12605 12930 15126 15947 25210 25860 30252 31894 37815 47841 50420 63788 75630 79735 93277 95682 151260 159470 186554 191364 239205 279831 318940 373108 466385 478410 559662 932770 956820 1086551 1119324 1399155 1865540 2173102 2798310 3259653 4346204 5432755 5596620 6519306 10865510 13038612 16298265 21731020 32596530 40202387 65193060 80404774 120607161 160809548 201011935 241214322 402023870 482428644 603035805 804047740 1206071610 2412143220