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211023306 = 23413971033
BaseRepresentation
bin11001001001111…
…11010111001010
3112201002002120000
430210333113022
5413010221211
632534543430
75141445204
oct1444772712
9481062500
10211023306
11a9131a2a
125a807b76
1334946880
1420051774
15137d5656
hexc93f5ca

211023306 has 80 divisors (see below), whose sum is σ = 514969224. Its totient is φ = 64198656.

The previous prime is 211023277. The next prime is 211023311. The reversal of 211023306 is 603320112.

It can be written as a sum of positive squares in 4 ways, for example, as 190854225 + 20169081 = 13815^2 + 4491^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203766 + ... + 204798.

Almost surely, 2211023306 is an apocalyptic number.

211023306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211023306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257484612).

211023306 is an abundant number, since it is smaller than the sum of its proper divisors (303945918).

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

211023306 is a wasteful number, since it uses less digits than its factorization.

211023306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 211023306 is about 14526.6412497865. The cubic root of 211023306 is about 595.3560997146.

Adding to 211023306 its reverse (603320112), we get a palindrome (814343418).

The spelling of 211023306 in words is "two hundred eleven million, twenty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 97 117 162 194 234 291 351 582 702 873 1033 1053 1261 1746 2066 2106 2522 2619 3099 3783 5238 6198 7566 7857 9297 11349 13429 15714 18594 22698 26858 27891 34047 40287 55782 68094 80574 83673 100201 102141 120861 167346 200402 204282 241722 300603 362583 601206 725166 901809 1087749 1302613 1803618 2175498 2605226 2705427 3907839 5410854 7815678 8116281 11723517 16232562 23447034 35170551 70341102 105511653 211023306