Search a number
-
+
242822820 = 22357355439
BaseRepresentation
bin11100111100100…
…10111010100100
3121220220200021210
432132102322210
5444130312240
640032311420
76005650152
oct1636227244
9556820253
10242822820
11115081419
12693a2570
133b3cb956
142436c3d2
15164b7780
hexe792ea4

242822820 has 48 divisors (see below), whose sum is σ = 689230080. Its totient is φ = 63864576.

The previous prime is 242822813. The next prime is 242822851. The reversal of 242822820 is 28228242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23340 + ... + 32099.

It is an arithmetic number, because the mean of its divisors is an integer number (14358960).

Almost surely, 2242822820 is an apocalyptic number.

242822820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242822820 is an abundant number, since it is smaller than the sum of its proper divisors (446407260).

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

242822820 is a wasteful number, since it uses less digits than its factorization.

242822820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55524 (or 55522 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 242822820 is about 15582.7731806633. The cubic root of 242822820 is about 623.8734436801.

The spelling of 242822820 in words is "two hundred forty-two million, eight hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 55439 110878 166317 221756 277195 332634 554390 665268 831585 1108780 1663170 3326340 4047047 8094094 12141141 16188188 20235235 24282282 40470470 48564564 60705705 80940940 121411410 242822820