Search a number
-
+
220011132 = 223119717183
BaseRepresentation
bin11010001110100…
…01101001111100
3120022222201112110
431013101221330
5422310324012
633455334020
75311030605
oct1507215174
9508881473
10220011132
11103210690
1261821310
1336772803
1421310dac
15144ad73c
hexd1d1a7c

220011132 has 48 divisors (see below), whose sum is σ = 565834752. Its totient is φ = 65978880.

The previous prime is 220011107. The next prime is 220011149. The reversal of 220011132 is 231110022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4213 + ... + 21395.

It is an arithmetic number, because the mean of its divisors is an integer number (11788224).

Almost surely, 2220011132 is an apocalyptic number.

220011132 is a gapful number since it is divisible by the number (22) 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 220011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282917376).

220011132 is an abundant number, since it is smaller than the sum of its proper divisors (345823620).

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

220011132 is a wasteful number, since it uses less digits than its factorization.

220011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17298 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220011132 is about 14832.7722290879. The cubic root of 220011132 is about 603.6912555955.

Adding to 220011132 its reverse (231110022), we get a palindrome (451121154).

The spelling of 220011132 in words is "two hundred twenty million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 17183 34366 51549 68732 103098 189013 206196 378026 567039 756052 1134078 1666751 2268156 3333502 5000253 6667004 10000506 18334261 20001012 36668522 55002783 73337044 110005566 220011132