Search a number
-
+
15220632040300 = 225229471013110237
BaseRepresentation
bin1101110101111101010001…
…0111011011001101101100
31222220002010000110022021201
43131133110113123031230
53443333323300242200
652212132315535244
73130440310453441
oct335372427331554
958802100408251
1015220632040300
114939040a92a55
121859a3aa5a524
138653b7b4ca0b
143a897aba59c8
151b5dcc0a0c6a
hexdd7d45db36c

15220632040300 has 144 divisors (see below), whose sum is σ = 34929430623360. Its totient is φ = 5747511024640.

The previous prime is 15220632040217. The next prime is 15220632040303. The reversal of 15220632040300 is 304023602251.

It is not an unprimeable number, because it can be changed into a prime (15220632040303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138016782 + ... + 138127018.

It is an arithmetic number, because the mean of its divisors is an integer number (242565490440).

Almost surely, 215220632040300 is an apocalyptic number.

15220632040300 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 15220632040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464715311680).

15220632040300 is an abundant number, since it is smaller than the sum of its proper divisors (19708798583060).

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

15220632040300 is a wasteful number, since it uses less digits than its factorization.

15220632040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111340 (or 111333 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 15220632040300 its reverse (304023602251), we get a palindrome (15524655642551).

The spelling of 15220632040300 in words is "fifteen trillion, two hundred twenty billion, six hundred thirty-two million, forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1013 1175 1363 1450 2026 2350 2726 2900 4052 4700 5065 5452 6815 10130 13630 20260 25325 27260 29377 34075 47611 50650 58754 68150 95222 101300 110237 117508 136300 146885 190444 220474 238055 293770 440948 476110 551185 587540 734425 952220 1102370 1190275 1380719 1468850 2204740 2380550 2755925 2761438 2937700 3196873 4761100 5181139 5511850 5522876 6393746 6903595 10362278 11023700 12787492 13807190 15984365 20724556 25905695 27614380 31968730 34517975 51811390 63937460 69035950 79921825 103622780 111670081 129528475 138071900 150253031 159843650 223340162 259056950 300506062 319687300 446680324 518113900 558350405 601012124 751265155 1116700810 1502530310 2233401620 2791752025 3005060620 3238432349 3756325775 5248493807 5583504050 6476864698 7512651550 10496987614 11167008100 12953729396 15025303100 16192161745 20993975228 26242469035 32384323490 52484938070 64768646980 80960808725 104969876140 131212345175 152206320403 161921617450 262424690350 304412640806 323843234900 524849380700 608825281612 761031602015 1522063204030 3044126408060 3805158010075 7610316020150 15220632040300