Search a number
-
+
220140160 = 275292409
BaseRepresentation
bin11010001111100…
…01001010000000
3120100020021112021
431013301022000
5422323441120
633502211224
75312106022
oct1507611200
9510207467
10220140160
11103299619
1261883b14
13367b9466
1421346012
15144d6aaa
hexd1f1280

220140160 has 96 divisors (see below), whose sum is σ = 546378300. Its totient is φ = 84811776.

The previous prime is 220140143. The next prime is 220140163. The reversal of 220140160 is 61041022.

It can be written as a sum of positive squares in 6 ways, for example, as 152374336 + 67765824 = 12344^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220140163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538036 + ... + 538444.

Almost surely, 2220140160 is an apocalyptic number.

220140160 is a gapful number since it is divisible by the number (20) 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 220140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273189150).

220140160 is an abundant number, since it is smaller than the sum of its proper divisors (326238140).

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

220140160 is an equidigital number, since it uses as much as digits as its factorization.

220140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 220140160 is about 14837.1210145365. The cubic root of 220140160 is about 603.8092463724.

Adding to 220140160 its reverse (61041022), we get a palindrome (281181182).

The spelling of 220140160 in words is "two hundred twenty million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 409 464 580 640 818 841 928 1160 1636 1682 1856 2045 2320 3272 3364 3712 4090 4205 4640 6544 6728 8180 8410 9280 11861 13088 13456 16360 16820 18560 23722 26176 26912 32720 33640 47444 52352 53824 59305 65440 67280 94888 107648 118610 130880 134560 189776 237220 261760 269120 343969 379552 474440 538240 687938 759104 948880 1375876 1518208 1719845 1897760 2751752 3439690 3795520 5503504 6879380 7591040 11007008 13758760 22014016 27517520 44028032 55035040 110070080 220140160