Search a number
-
+
160056106224 = 24371789359877
BaseRepresentation
bin1001010100010000010…
…1100101110011110000
3120022010120210122021020
42111010011211303300
510110243330344344
6201310113455440
714364224312130
oct2250405456360
9508116718236
10160056106224
1161974554643
122702a571580
1312129a82481
147a6515aac0
15426b871719
hex2544165cf0

160056106224 has 320 divisors, whose sum is σ = 507953203200. Its totient is φ = 42389766144.

The previous prime is 160056106213. The next prime is 160056106271. The reversal of 160056106224 is 422601650061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182503674 + ... + 182504550.

It is an arithmetic number, because the mean of its divisors is an integer number (1587353760).

Almost surely, 2160056106224 is an apocalyptic number.

160056106224 is a gapful number since it is divisible by the number (14) 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 160056106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253976601600).

160056106224 is an abundant number, since it is smaller than the sum of its proper divisors (347897096976).

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

160056106224 is a wasteful number, since it uses less digits than its factorization.

160056106224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 160056106224 its reverse (422601650061), we get a palindrome (582657756285).

The spelling of 160056106224 in words is "one hundred sixty billion, fifty-six million, one hundred six thousand, two hundred twenty-four".