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42314220 = 22325133107
BaseRepresentation
bin1010000101101…
…0100111101100
32221121210012100
42201122213230
541313023340
64110535100
71022444034
oct241324754
987553170
1042314220
1121981333
1212207490
1389c7000
1458968c4
153aac830
hex285a9ec

42314220 has 144 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 10318464.

The previous prime is 42314203. The next prime is 42314257. The reversal of 42314220 is 2241324.

42314220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42314193 and 42314202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395407 + ... + 395513.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 242314220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

42314220 is an abundant number, since it is smaller than the sum of its proper divisors (98029620).

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

42314220 is a wasteful number, since it uses less digits than its factorization.

42314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42314220 is about 6504.9381242253. The cubic root of 42314220 is about 348.4673664935.

Adding to 42314220 its reverse (2241324), we get a palindrome (44555544).

The spelling of 42314220 in words is "forty-two million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 107 117 130 156 169 180 195 214 234 260 321 338 390 428 468 507 535 585 642 676 780 845 963 1014 1070 1170 1284 1391 1521 1605 1690 1926 2028 2140 2197 2340 2535 2782 3042 3210 3380 3852 4173 4394 4815 5070 5564 6084 6420 6591 6955 7605 8346 8788 9630 10140 10985 12519 13182 13910 15210 16692 18083 19260 19773 20865 21970 25038 26364 27820 30420 32955 36166 39546 41730 43940 50076 54249 62595 65910 72332 79092 83460 90415 98865 108498 125190 131820 162747 180830 197730 216996 235079 250380 271245 325494 361660 395460 470158 542490 650988 705237 813735 940316 1084980 1175395 1410474 1627470 2115711 2350790 2820948 3254940 3526185 4231422 4701580 7052370 8462844 10578555 14104740 21157110 42314220