Search a number
-
+
2424232140 = 22351131711587
BaseRepresentation
bin1001000001111110…
…1101100011001100
320020221121202022120
42100133231203030
514431100412030
61040315412540
7114034430121
oct22037554314
96227552276
102424232140
111034463540
12577a54150
132c83214b5
1418dd6a748
15e2c61010
hex907ed8cc

2424232140 has 96 divisors (see below), whose sum is σ = 7428927744. Its totient is φ = 585788160.

The previous prime is 2424232127. The next prime is 2424232169. The reversal of 2424232140 is 412324242.

2424232140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2424232140.

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, 203427 + ... + 215013.

It is an arithmetic number, because the mean of its divisors is an integer number (77384664).

Almost surely, 22424232140 is an apocalyptic number.

2424232140 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 2424232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714463872).

2424232140 is an abundant number, since it is smaller than the sum of its proper divisors (5004695604).

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

2424232140 is a wasteful number, since it uses less digits than its factorization.

2424232140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2424232140 is about 49236.4919546468. The cubic root of 2424232140 is about 1343.3568728040.

Adding to 2424232140 its reverse (412324242), we get a palindrome (2836556382).

The spelling of 2424232140 in words is "two billion, four hundred twenty-four million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 3170 3487 3804 4755 6340 6974 9510 10461 11587 13948 17435 19020 20922 23174 34761 34870 41844 46348 52305 57935 69522 69740 104610 115870 127457 139044 173805 209220 231740 254914 347610 382371 509828 637285 695220 764742 1274570 1529484 1911855 2549140 3673079 3823710 7346158 7647420 11019237 14692316 18365395 22038474 36730790 40403869 44076948 55096185 73461580 80807738 110192370 121211607 161615476 202019345 220384740 242423214 404038690 484846428 606058035 808077380 1212116070 2424232140