Search a number
-
+
242202211420 = 225132179400321
BaseRepresentation
bin1110000110010001100…
…0000111010001011100
3212011011111012011010211
43201210120013101130
512432012231231140
6303133253542204
723332665554161
oct3414430072134
9764144164124
10242202211420
119379891a284
123ab35044964
1319abb6c8800
14ba18d44068
1564784632ea
hex386460745c

242202211420 has 72 divisors (see below), whose sum is σ = 553837480560. Its totient is φ = 88928686080.

The previous prime is 242202211417. The next prime is 242202211421. The reversal of 242202211420 is 24112202242.

It is a super-2 number, since 2×2422022114202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242202211391 and 242202211400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242202211421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404860 + ... + 805180.

It is an arithmetic number, because the mean of its divisors is an integer number (7692187230).

Almost surely, 2242202211420 is an apocalyptic number.

242202211420 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 242202211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276918740280).

242202211420 is an abundant number, since it is smaller than the sum of its proper divisors (311635269140).

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

242202211420 is a wasteful number, since it uses less digits than its factorization.

242202211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400535 (or 400520 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 242202211420 its reverse (24112202242), we get a palindrome (266314413662).

The spelling of 242202211420 in words is "two hundred forty-two billion, two hundred two million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 179 260 338 358 676 716 845 895 1690 1790 2327 3380 3580 4654 9308 11635 23270 30251 46540 60502 121004 151255 302510 400321 605020 800642 1601284 2001605 4003210 5204173 8006420 10408346 20816692 26020865 52041730 67654249 71657459 104083460 135308498 143314918 270616996 286629836 338271245 358287295 676542490 716574590 931546967 1353084980 1433149180 1863093934 3726187868 4657734835 9315469670 12110110571 18630939340 24220221142 48440442284 60550552855 121101105710 242202211420