Search a number
-
+
82150224240 = 24357232126041
BaseRepresentation
bin100110010000010001…
…0001111000101110000
321212001012010210010210
41030200202033011300
52321220424133430
6101423404224120
75635521245640
oct1144042170560
9255035123123
1082150224240
1131926729407
1213b07b3b040
137992759156
143d9457a520
15220c1572b0
hex132088f170

82150224240 has 160 divisors (see below), whose sum is σ = 303700847616. Its totient is φ = 17960785920.

The previous prime is 82150224229. The next prime is 82150224251. The reversal of 82150224240 is 4242205128.

It is an interprime number because it is at equal distance from previous prime (82150224229) and next prime (82150224251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82150224198 and 82150224207.

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, 1024381 + ... + 1101660.

Almost surely, 282150224240 is an apocalyptic number.

82150224240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82150224240 is an abundant number, since it is smaller than the sum of its proper divisors (221550623376).

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

82150224240 is a wasteful number, since it uses less digits than its factorization.

82150224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126087 (or 2126081 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 82150224240 its reverse (4242205128), we get a palindrome (86392429368).

The spelling of 82150224240 in words is "eighty-two billion, one hundred fifty million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 2126041 4252082 6378123 8504164 10630205 12756246 14882287 17008328 21260410 25512492 29764574 31890615 34016656 42520820 44646861 48898943 51024984 59529148 63781230 74411435 85041640 89293722 97797886 102049968 119058296 127562460 146696829 148822870 170083280 178587444 195595772 223234305 238116592 244494715 255124920 293393658 297645740 342292601 357174888 391191544 446468610 488989430 510249840 586787316 595291480 684585202 714349776 733484145 782383088 892937220 977978860 1026877803 1173574632 1190582960 1369170404 1466968290 1711463005 1785874440 1955957720 2053755606 2347149264 2738340808 2933936580 3422926010 3571748880 3911915440 4107511212 5134389015 5476681616 5867873160 6845852020 8215022424 10268778030 11735746320 13691704040 16430044848 20537556060 27383408080 41075112120 82150224240