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242544620 = 225313797109
BaseRepresentation
bin11100111010011…
…10111111101100
3121220101112200002
432131032333230
5444042411440
640022323432
76003411113
oct1635167754
9556345602
10242544620
11114a013aa
1269289578
133b332136
14242d8c7a
1516460115
hexe74efec

242544620 has 96 divisors (see below), whose sum is σ = 550556160. Its totient is φ = 89579520.

The previous prime is 242544619. The next prime is 242544647. The reversal of 242544620 is 26445242.

242544620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225126 + ... + 2225234.

It is an arithmetic number, because the mean of its divisors is an integer number (5734960).

Almost surely, 2242544620 is an apocalyptic number.

242544620 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 242544620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275278080).

242544620 is an abundant number, since it is smaller than the sum of its proper divisors (308011540).

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

242544620 is a wasteful number, since it uses less digits than its factorization.

242544620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 242544620 is about 15573.8440983593. The cubic root of 242544620 is about 623.6350971676.

Adding to 242544620 its reverse (26445242), we get a palindrome (268989862).

The spelling of 242544620 in words is "two hundred forty-two million, five hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 97 109 124 148 155 185 194 218 310 370 388 436 485 545 620 740 970 1090 1147 1940 2180 2294 3007 3379 3589 4033 4588 5735 6014 6758 7178 8066 10573 11470 12028 13516 14356 15035 16132 16895 17945 20165 21146 22940 30070 33790 35890 40330 42292 52865 60140 67580 71780 80660 105730 111259 125023 211460 222518 250046 327763 391201 445036 500092 556295 625115 655526 782402 1112590 1250230 1311052 1564804 1638815 1956005 2225180 2500460 3277630 3912010 6555260 7824020 12127231 24254462 48508924 60636155 121272310 242544620