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242354690228 = 227196176611117
BaseRepresentation
bin1110000110110101110…
…1110001100010110100
3212011120010002212202002
43201231131301202310
512432320300041403
6303200342034432
723336526606620
oct3415535614264
9764503085662
10242354690228
11938669a4922
123ab78118a18
1319b14184a61
14ba312b6180
156486a32188
hex386d7718b4

242354690228 has 96 divisors (see below), whose sum is σ = 512278690560. Its totient is φ = 98003727360.

The previous prime is 242354690219. The next prime is 242354690239. The reversal of 242354690228 is 822096453242.

It is a happy number.

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, 216968726 + ... + 216969842.

It is an arithmetic number, because the mean of its divisors is an integer number (5336236360).

Almost surely, 2242354690228 is an apocalyptic number.

242354690228 is a gapful number since it is divisible by the number (28) 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 242354690228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256139345280).

242354690228 is an abundant number, since it is smaller than the sum of its proper divisors (269924000332).

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

242354690228 is a wasteful number, since it uses less digits than its factorization.

242354690228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 242354690228 in words is "two hundred forty-two billion, three hundred fifty-four million, six hundred ninety thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 617 661 1117 1234 1322 2234 2468 2644 4319 4468 4627 7819 8638 9254 11723 12559 15638 17276 18508 21223 23446 25118 31276 42446 46892 50236 82061 84892 87913 148561 164122 175826 297122 328244 351652 407837 594244 689189 738337 815674 1378378 1476674 1631348 2756756 2854859 2953348 4824323 5168359 5709718 7748903 9648646 10336718 11419436 13094591 14028403 15497806 19297292 20673436 26189182 28056806 30995612 52378364 54242321 56113612 91662137 98198821 108484642 183324274 196397642 216969284 366648548 392795284 455553929 911107858 1822215716 3188877503 6377755006 8655524651 12755510012 17311049302 34622098604 60588672557 121177345114 242354690228