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286264220 = 225112294079
BaseRepresentation
bin10001000100000…
…000101110011100
3201221122201200112
4101010000232130
51041240423340
644223345152
710044130364
oct2104005634
9657581615
10286264220
11137652600
127ba521b8
13473cba18
142a0399a4
151a1e9065
hex11100b9c

286264220 has 72 divisors (see below), whose sum is σ = 683726400. Its totient is φ = 100481920.

The previous prime is 286264189. The next prime is 286264229. The reversal of 286264220 is 22462682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286264229) 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, 68141 + ... + 72219.

It is an arithmetic number, because the mean of its divisors is an integer number (9496200).

Almost surely, 2286264220 is an apocalyptic number.

286264220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

286264220 is an abundant number, since it is smaller than the sum of its proper divisors (397462180).

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

286264220 is a wasteful number, since it uses less digits than its factorization.

286264220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 286264220 is about 16919.3445499523. The cubic root of 286264220 is about 659.0560580109.

The spelling of 286264220 in words is "two hundred eighty-six million, two hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1210 1276 1595 2420 3190 3509 4079 6380 7018 8158 14036 16316 17545 20395 35090 40790 44869 70180 81580 89738 118291 179476 224345 236582 448690 473164 493559 591455 897380 987118 1182910 1301201 1974236 2365820 2467795 2602402 4935590 5204804 6506005 9871180 13012010 14313211 26024020 28626422 57252844 71566055 143132110 286264220