Search a number
-
+
1442210220 = 22325117110259
BaseRepresentation
bin101010111110110…
…0110000110101100
310201111202212111100
41111331212012230
510423201211340
6355035323100
750511404343
oct12575460654
93644685440
101442210220
116800a9980
12342bb0490
1319ca3a339
14d977cb5a
1586931830
hex55f661ac

1442210220 has 144 divisors (see below), whose sum is σ = 4840093440. Its totient is φ = 344668800.

The previous prime is 1442210213. The next prime is 1442210227. The reversal of 1442210220 is 220122441.

1442210220 is a `hidden beast` number, since 1 + 442 + 2 + 1 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1442210213) and next prime (1442210227).

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 = 1442210193 and 1442210202.

It is not an unprimeable number, because it can be changed into a prime (1442210227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135451 + ... + 145709.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 21442210220 is an apocalyptic number.

1442210220 is a gapful number since it is divisible by the number (10) 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 1442210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1442210220 is an abundant number, since it is smaller than the sum of its proper divisors (3397883220).

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

1442210220 is a wasteful number, since it uses less digits than its factorization.

1442210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1442210220 is about 37976.4429613938. The cubic root of 1442210220 is about 1129.8206883881.

Adding to 1442210220 its reverse (220122441), we get a palindrome (1662332661).

It can be divided in two parts, 14422 and 10220, that added together give a palindrome (24642).

The spelling of 1442210220 in words is "one billion, four hundred forty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4686 6390 7029 7810 9372 10259 11715 12780 14058 15620 20518 23430 28116 30777 35145 41036 46860 51295 61554 70290 92331 102590 112849 123108 140580 153885 184662 205180 225698 307770 338547 369324 451396 461655 564245 615540 677094 728389 923310 1015641 1128490 1354188 1456778 1692735 1846620 2031282 2185167 2256980 2913556 3385470 3641945 4062564 4370334 5078205 6555501 6770940 7283890 8012279 8740668 10156410 10925835 13111002 14567780 16024558 20312820 21851670 24036837 26222004 32049116 32777505 40061395 43703340 48073674 65555010 72110511 80122790 96147348 120184185 131110020 144221022 160245580 240368370 288442044 360552555 480736740 721105110 1442210220