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220223016 = 23331378427
BaseRepresentation
bin11010010000001…
…01011000101000
3120100101111012000
431020011120220
5422334114031
633504051000
75312602416
oct1510053050
9510344160
10220223016
111033458a2
1261903a60
13368180a0
14213682b6
15145013e6
hexd205628

220223016 has 64 divisors (see below), whose sum is σ = 658795200. Its totient is φ = 67760064.

The previous prime is 220223011. The next prime is 220223041. The reversal of 220223016 is 610322022.

It is a super-2 number, since 2×2202230162 = 96996353552272512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220223016.

It is not an unprimeable number, because it can be changed into a prime (220223011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36406 + ... + 42021.

It is an arithmetic number, because the mean of its divisors is an integer number (10293675).

Almost surely, 2220223016 is an apocalyptic number.

220223016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

220223016 is an abundant number, since it is smaller than the sum of its proper divisors (438572184).

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

220223016 is a wasteful number, since it uses less digits than its factorization.

220223016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78455 (or 78445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220223016 is about 14839.9129377500. The cubic root of 220223016 is about 603.8849904553.

Adding to 220223016 its reverse (610322022), we get a palindrome (830545038).

The spelling of 220223016 in words is "two hundred twenty million, two hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 78427 156854 235281 313708 470562 627416 705843 941124 1019551 1411686 1882248 2039102 2117529 2823372 3058653 4078204 4235058 5646744 6117306 8156408 8470116 9175959 12234612 16940232 18351918 24469224 27527877 36703836 55055754 73407672 110111508 220223016