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220168938 = 231121717839
BaseRepresentation
bin11010001111110…
…00001011101010
3120100021202000010
431013320023222
5422330401223
633502552350
75312255643
oct1507701352
9510252003
10220168938
11103309200
12618986b6
13367c95a2
14213526ca
15144e0393
hexd1f82ea

220168938 has 48 divisors (see below), whose sum is σ = 512507520. Its totient is φ = 62789760.

The previous prime is 220168933. The next prime is 220168939. The reversal of 220168938 is 839861022.

It is a happy number.

It is a super-2 number, since 2×2201689382 = 96948722520095688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220168896 and 220168905.

It is not an unprimeable number, because it can be changed into a prime (220168933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3423 + ... + 21261.

It is an arithmetic number, because the mean of its divisors is an integer number (10677240).

Almost surely, 2220168938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220168938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256253760).

220168938 is an abundant number, since it is smaller than the sum of its proper divisors (292338582).

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

220168938 is a wasteful number, since it uses less digits than its factorization.

220168938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17883 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 220168938 is about 14838.0907801509. The cubic root of 220168938 is about 603.8355563763.

The spelling of 220168938 in words is "two hundred twenty million, one hundred sixty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 12342 17839 35678 53517 107034 196229 303263 392458 588687 606526 909789 1177374 1819578 2158519 3335893 4317038 6475557 6671786 10007679 12951114 20015358 36694823 73389646 110084469 220168938