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243398226632 = 2311210121572
BaseRepresentation
bin1110001010101110101…
…0100011001011001000
3212021020211201000120112
43202223222203023020
512441434421223012
6303452100413452
723404430535041
oct3425352431310
9767224630515
10243398226632
1194251a54200
123b2096a7288
1319c4c426312
14bacdb178c8
1564e8463122
hex38abaa32c8

243398226632 has 108 divisors (see below), whose sum is σ = 509895109395. Its totient is φ = 108842448000.

The previous prime is 243398226629. The next prime is 243398226641. The reversal of 243398226632 is 236622893342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

243398226632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 204255186916 + 39143039716 = 451946^2 + 197846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348854.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1550307098 + ... + 1550307254.

Almost surely, 2243398226632 is an apocalyptic number.

243398226632 is a gapful number since it is divisible by the number (22) 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 243398226632

243398226632 is an abundant number, since it is smaller than the sum of its proper divisors (266496882763).

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

243398226632 is a wasteful number, since it uses less digits than its factorization.

243398226632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 271 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 50.

Multiplying 243398226632 by its sum of digits (50), we get a square (12169911331600 = 34885402).

The spelling of 243398226632 in words is "two hundred forty-three billion, three hundred ninety-eight million, two hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 157 202 242 314 404 484 628 808 968 1111 1256 1727 2222 3454 4444 6908 8888 10201 12221 13816 15857 18997 20402 24442 24649 31714 37994 40804 48884 49298 63428 75988 81608 97768 98596 112211 126856 151976 174427 197192 224422 271139 348854 448844 542278 697708 897688 1084556 1234321 1395416 1601557 1918697 2169112 2468642 2489549 2982529 3203114 3837394 4937284 4979098 5965058 6406228 7674788 9874568 9958196 11930116 12812456 15349576 17617127 19916392 23860232 27385039 35234254 54770078 70468508 109540156 140937016 193788397 219080312 251444449 301235429 387576794 502888898 602470858 775153588 1005777796 1204941716 1550307176 2011555592 2409883432 2765888939 5531777878 11063555756 22127111512 30424778329 60849556658 121699113316 243398226632