Search a number
-
+
242545004220 = 223571208727281
BaseRepresentation
bin1110000111100011001…
…1110000111010111100
3212012001101012211110110
43201320303300322330
512433213010113340
6303231301110020
723344330343121
oct3417063607274
9765041184413
10242545004220
1193954371612
123b00b9b8310
1319b4472a39c
14ba4c696748
1564985c6680
hex3878cf0ebc

242545004220 has 96 divisors (see below), whose sum is σ = 689046414336. Its totient is φ = 63734809600.

The previous prime is 242545004209. The next prime is 242545004239. The reversal of 242545004220 is 22400545242.

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

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, 8876980 + ... + 8904260.

It is an arithmetic number, because the mean of its divisors is an integer number (7177566816).

Almost surely, 2242545004220 is an apocalyptic number.

242545004220 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 242545004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344523207168).

242545004220 is an abundant number, since it is smaller than the sum of its proper divisors (446501410116).

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

242545004220 is a wasteful number, since it uses less digits than its factorization.

242545004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29451 (or 29449 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 242545004220 its reverse (22400545242), we get a palindrome (264945549462).

The spelling of 242545004220 in words is "two hundred forty-two billion, five hundred forty-five million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2087 2130 4174 4260 6261 8348 10435 12522 20870 25044 27281 31305 41740 54562 62610 81843 109124 125220 136405 148177 163686 272810 296354 327372 409215 444531 545620 592708 740885 818430 889062 1481770 1636860 1778124 1936951 2222655 2963540 3873902 4445310 5810853 7747804 8890620 9684755 11621706 19369510 23243412 29054265 38739020 56935447 58108530 113870894 116217060 170806341 227741788 284677235 341612682 569354470 683225364 854031705 1138708940 1708063410 3416126820 4042416737 8084833474 12127250211 16169666948 20212083685 24254500422 40424167370 48509000844 60636251055 80848334740 121272502110 242545004220