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220731368 = 231113238389
BaseRepresentation
bin11010010100000…
…01011111101000
3120101100022111212
431022001133220
5423001400433
633523012252
75320120454
oct1512013750
9511308455
10220731368
11103662820
1261b0a088
13369655a0
142145b664
15145a1d48
hexd2817e8

220731368 has 64 divisors (see below), whose sum is σ = 507427200. Its totient is φ = 88577280.

The previous prime is 220731361. The next prime is 220731373. The reversal of 220731368 is 863137022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220731361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22118 + ... + 30506.

It is an arithmetic number, because the mean of its divisors is an integer number (7928550).

Almost surely, 2220731368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220731368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253713600).

220731368 is an abundant number, since it is smaller than the sum of its proper divisors (286695832).

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

220731368 is a wasteful number, since it uses less digits than its factorization.

220731368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 220731368 is about 14857.0309281498. The cubic root of 220731368 is about 604.3492928704.

The spelling of 220731368 in words is "two hundred twenty million, seven hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 2024 2392 3289 6578 8389 13156 16778 26312 33556 67112 92279 109057 184558 192947 218114 369116 385894 436228 738232 771788 872456 1199627 1543576 2122417 2399254 2508311 4244834 4798508 5016622 8489668 9597016 10033244 16979336 20066488 27591421 55182842 110365684 220731368