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228462558544 = 241117161347339
BaseRepresentation
bin1101010011000101101…
…1011111110101010000
3210211200221121110200101
43110301123133311100
512220342403333134
6252542041302144
722335341464153
oct3246133376520
9724627543611
10228462558544
1188988181760
123833b794954
131870c012bac
14b0b427bc9a
155e22109e14
hex35316dfd50

228462558544 has 80 divisors (see below), whose sum is σ = 511619664960. Its totient is φ = 97675335680.

The previous prime is 228462558529. The next prime is 228462558613. The reversal of 228462558544 is 445855264822.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 4802427 + ... + 4849765.

It is an arithmetic number, because the mean of its divisors is an integer number (6395245812).

Almost surely, 2228462558544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228462558544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255809832480).

228462558544 is an abundant number, since it is smaller than the sum of its proper divisors (283157106416).

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

228462558544 is a wasteful number, since it uses less digits than its factorization.

228462558544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48988 (or 48982 counting only the distinct ones).

The product of its digits is 24576000, while the sum is 55.

The spelling of 228462558544 in words is "two hundred twenty-eight billion, four hundred sixty-two million, five hundred fifty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1613 2992 3226 6452 12904 17743 25808 27421 35486 47339 54842 70972 94678 109684 141944 189356 219368 283888 301631 378712 438736 520729 603262 757424 804763 1041458 1206524 1609526 2082916 2413048 3219052 4165832 4826096 6438104 8331664 8852393 12876208 17704786 35409572 70819144 76357807 141638288 152715614 305431228 610862456 839935877 1221724912 1298082719 1679871754 2596165438 3359743508 5192330876 6719487016 10384661752 13438974032 14278909909 20769323504 28557819818 57115639636 114231279272 228462558544