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220817142 = 2327131131193
BaseRepresentation
bin11010010100101…
…10011011110110
3120101111200011200
431022112123312
5423012122032
633524513330
75320625520
oct1512263366
9511450150
10220817142
11103711207
1261b4b846
1336995640
1421480a10
15145bc47c
hexd2966f6

220817142 has 96 divisors (see below), whose sum is σ = 594554688. Its totient is φ = 57673728.

The previous prime is 220817141. The next prime is 220817159. The reversal of 220817142 is 241718022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220817141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184498 + ... + 185690.

It is an arithmetic number, because the mean of its divisors is an integer number (6193278).

Almost surely, 2220817142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220817142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297277344).

220817142 is an abundant number, since it is smaller than the sum of its proper divisors (373737546).

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

220817142 is a wasteful number, since it uses less digits than its factorization.

220817142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 220817142 is about 14859.9172945209. The cubic root of 220817142 is about 604.4275640946.

The spelling of 220817142 in words is "two hundred twenty million, eight hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 113 117 126 182 226 234 273 339 546 678 791 819 1017 1193 1469 1582 1638 2034 2373 2386 2938 3579 4407 4746 7119 7158 8351 8814 10283 10737 13221 14238 15509 16702 20566 21474 25053 26442 30849 31018 46527 50106 61698 75159 92547 93054 108563 134809 139581 150318 185094 217126 269618 279162 325689 404427 651378 808854 943663 977067 1213281 1752517 1887326 1954134 2426562 2830989 3505034 5257551 5661978 8492967 10515102 12267619 15772653 16985934 24535238 31545306 36802857 73605714 110408571 220817142