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220142910 = 235131633463
BaseRepresentation
bin11010001111100…
…01110100111110
3120100020102022010
431013301310332
5422324033120
633502232050
75312120031
oct1507616476
9510212263
10220142910
111032a0699
1261885626
13367ba7a0
1421347018
15144d77e0
hexd1f1d3e

220142910 has 64 divisors (see below), whose sum is σ = 572640768. Its totient is φ = 53841024.

The previous prime is 220142887. The next prime is 220142921. The reversal of 220142910 is 19241022.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61839 + ... + 65301.

It is an arithmetic number, because the mean of its divisors is an integer number (8947512).

Almost surely, 2220142910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220142910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286320384).

220142910 is an abundant number, since it is smaller than the sum of its proper divisors (352497858).

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

220142910 is a wasteful number, since it uses less digits than its factorization.

220142910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 220142910 is about 14837.2136872123. The cubic root of 220142910 is about 603.8117606320.

Adding to 220142910 its reverse (19241022), we get a palindrome (239383932).

The spelling of 220142910 in words is "two hundred twenty million, one hundred forty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 390 489 815 978 1630 2119 2445 3463 4238 4890 6357 6926 10389 10595 12714 17315 20778 21190 31785 34630 45019 51945 63570 90038 103890 135057 225095 270114 450190 564469 675285 1128938 1350570 1693407 2822345 3386814 5644690 7338097 8467035 14676194 16934070 22014291 36690485 44028582 73380970 110071455 220142910