Search a number
-
+
302244213420 = 2232519775711393
BaseRepresentation
bin1000110010111110010…
…10001011001010101100
31001220010220210212210200
410121133022023022230
514422444004312140
6350503222233500
730556615265532
oct4313712131254
91056126725720
10302244213420
111071a9a85036
124a6b0b85890
1322669a70846
14108b320c152
157cde711030
hex465f28b2ac

302244213420 has 144 divisors (see below), whose sum is σ = 965269599840. Its totient is φ = 76339888128.

The previous prime is 302244213419. The next prime is 302244213451. The reversal of 302244213420 is 24312442203.

302244213420 is a `hidden beast` number, since 3 + 0 + 2 + 24 + 4 + 213 + 420 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26523244 + ... + 26534636.

It is an arithmetic number, because the mean of its divisors is an integer number (6703261110).

Almost surely, 2302244213420 is an apocalyptic number.

302244213420 is a gapful number since it is divisible by the number (30) 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 302244213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482634799920).

302244213420 is an abundant number, since it is smaller than the sum of its proper divisors (663025386420).

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

302244213420 is a wasteful number, since it uses less digits than its factorization.

302244213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19184 (or 19179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 302244213420 its reverse (24312442203), we get a palindrome (326556655623).

The spelling of 302244213420 in words is "three hundred two billion, two hundred forty-four million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 7757 11393 15514 22786 23271 31028 34179 38785 45572 46542 56965 68358 69813 77570 93084 102537 113930 116355 136716 139626 147383 155140 170895 205074 216467 227860 232710 279252 294766 341790 349065 410148 432934 442149 465420 512685 589532 649401 683580 698130 736915 865868 884298 1025370 1082335 1298802 1326447 1396260 1473830 1768596 1948203 2050740 2164670 2210745 2597604 2652894 2947660 3247005 3896406 4329340 4421490 5305788 6494010 6632235 7792812 8842980 9741015 12988020 13264470 19482030 26528940 38964060 88375501 176751002 265126503 353502004 441877505 530253006 795379509 883755010 1060506012 1325632515 1590759018 1679134519 1767510020 2651265030 3181518036 3358269038 3976897545 5037403557 5302530060 6716538076 7953795090 8395672595 10074807114 15112210671 15907590180 16791345190 20149614228 25187017785 30224421342 33582690380 50374035570 60448842684 75561053355 100748071140 151122106710 302244213420