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220313132 = 2213217191009
BaseRepresentation
bin11010010000110…
…11011000101100
3120100120001210122
431020123120230
5422400010012
633510024112
75313426224
oct1510333054
9510501718
10220313132
111033a7576
1261948038
133684a100
142138d084
151451ce72
hexd21b62c

220313132 has 72 divisors (see below), whose sum is σ = 465771600. Its totient is φ = 90574848.

The previous prime is 220313101. The next prime is 220313147. The reversal of 220313132 is 231313022.

It is a super-2 number, since 2×2203131322 = 97075752263298848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 220313132.

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 23 ways as a sum of consecutive naturals, for example, 217844 + ... + 218852.

It is an arithmetic number, because the mean of its divisors is an integer number (6469050).

Almost surely, 2220313132 is an apocalyptic number.

It is an amenable number.

220313132 is an abundant number, since it is smaller than the sum of its proper divisors (245458468).

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

220313132 is a wasteful number, since it uses less digits than its factorization.

220313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 220313132 is about 14842.9488983827. The cubic root of 220313132 is about 603.9673498132.

Adding to 220313132 its reverse (231313022), we get a palindrome (451626154).

The spelling of 220313132 in words is "two hundred twenty million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 13 17 19 26 34 38 52 68 76 169 221 247 323 338 442 494 646 676 884 988 1009 1292 2018 2873 3211 4036 4199 5746 6422 8398 11492 12844 13117 16796 17153 19171 26234 34306 38342 52468 54587 68612 76684 109174 170521 218348 222989 249223 325907 341042 445978 498446 651814 682084 891956 996892 1303628 2898857 3239899 4236791 5797714 6479798 8473582 11595428 12959596 16947164 55078283 110156566 220313132