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160223060224 = 285325745949
BaseRepresentation
bin1001010100111000001…
…0011110000100000000
3120022120012221210002201
42111032002132010000
510111114100411344
6201334440122544
714401322353363
oct2251602360400
9508505853081
10160223060224
1161a4a816657
1227076466454
1312155539216
147a7d3ba0da
15427b34e4d4
hex254e09e100

160223060224 has 72 divisors (see below), whose sum is σ = 327129629400. Its totient is φ = 78292451328.

The previous prime is 160223060209. The next prime is 160223060243. The reversal of 160223060224 is 422060322061.

It can be written as a sum of positive squares in 4 ways, for example, as 117489901824 + 42733158400 = 342768^2 + 206720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 160223060192 and 160223060201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3464002 + ... + 3509950.

It is an arithmetic number, because the mean of its divisors is an integer number (4543467075).

Almost surely, 2160223060224 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 160223060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163564814700).

160223060224 is an abundant number, since it is smaller than the sum of its proper divisors (166906569176).

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

160223060224 is an equidigital number, since it uses as much as digits as its factorization.

160223060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46275 (or 46261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 160223060224 its reverse (422060322061), we get a palindrome (582283382285).

The spelling of 160223060224 in words is "one hundred sixty billion, two hundred twenty-three million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 257 424 514 848 1028 1696 2056 3392 4112 6784 8224 13568 13621 16448 27242 32896 45949 54484 65792 91898 108968 183796 217936 367592 435872 735184 871744 1470368 1743488 2435297 2940736 3486976 4870594 5881472 9741188 11762944 11808893 19482376 23617786 38964752 47235572 77929504 94471144 155859008 188942288 311718016 377884576 623436032 625871329 755769152 1251742658 1511538304 2503485316 3023076608 5006970632 10013941264 20027882528 40055765056 80111530112 160223060224