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242424020220 = 223571109522083
BaseRepresentation
bin1110000111000110011…
…0001111110011111100
3212011201221120012121120
43201301212033303330
512432441022121340
6303211300030540
723341331113104
oct3416146176374
9764657505546
10242424020220
11938a2048538
123ab97392450
1319b2564a615
14ba3a5a2204
15648cb794d0
hex387198fcfc

242424020220 has 96 divisors (see below), whose sum is σ = 694664087040. Its totient is φ = 63151038720.

The previous prime is 242424020117. The next prime is 242424020261. The reversal of 242424020220 is 22020424242.

It is a zygodrome in base 2.

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, 203299 + ... + 725381.

It is an arithmetic number, because the mean of its divisors is an integer number (7236084240).

Almost surely, 2242424020220 is an apocalyptic number.

242424020220 is a gapful number since it is divisible by the number (20) 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 242424020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347332043520).

242424020220 is an abundant number, since it is smaller than the sum of its proper divisors (452240066820).

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

242424020220 is a wasteful number, since it uses less digits than its factorization.

242424020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522275 (or 522273 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242424020220 its reverse (22020424242), we get a palindrome (264444444462).

The spelling of 242424020220 in words is "two hundred forty-two billion, four hundred twenty-four million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 109 142 213 218 284 327 355 426 436 545 654 710 852 1065 1090 1308 1420 1635 2130 2180 3270 4260 6540 7739 15478 23217 30956 38695 46434 77390 92868 116085 154780 232170 464340 522083 1044166 1566249 2088332 2610415 3132498 5220830 6264996 7831245 10441660 15662490 31324980 37067893 56907047 74135786 111203679 113814094 148271572 170721141 185339465 222407358 227628188 284535235 341442282 370678930 444814716 556018395 569070470 682884564 741357860 853605705 1112036790 1138140940 1707211410 2224073580 3414422820 4040400337 8080800674 12121201011 16161601348 20202001685 24242402022 40404003370 48484804044 60606005055 80808006740 121212010110 242424020220