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220702482 = 234711131361
BaseRepresentation
bin11010010011110…
…10011100010010
3120101021211220000
431021322130102
5422444434412
633522230430
75316640320
oct1511723422
9511254800
10220702482
11103643050
1261ab5416
13369553b0
1421450d10
15145984dc
hexd27a712

220702482 has 160 divisors (see below), whose sum is σ = 664481664. Its totient is φ = 52876800.

The previous prime is 220702477. The next prime is 220702487. The reversal of 220702482 is 284207022.

220702482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220702477) and next prime (220702487).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220702487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161482 + ... + 162842.

Almost surely, 2220702482 is an apocalyptic number.

220702482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220702482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332240832).

220702482 is an abundant number, since it is smaller than the sum of its proper divisors (443779182).

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

220702482 is a wasteful number, since it uses less digits than its factorization.

220702482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220702482 is about 14856.0587640195. The cubic root of 220702482 is about 604.3229290065.

The spelling of 220702482 in words is "two hundred twenty million, seven hundred two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1001 1053 1134 1287 1361 1386 1638 1782 2002 2079 2106 2457 2574 2722 3003 3861 4083 4158 4914 6006 6237 7371 7722 8166 9009 9527 11583 12249 12474 14742 14971 17693 18018 19054 23166 24498 27027 28581 29942 35386 36747 44913 53079 54054 57162 73494 81081 85743 89826 104797 106158 110241 123851 134739 159237 162162 171486 194623 209594 220482 247702 257229 269478 314391 318474 371553 389246 404217 477711 514458 583869 628782 743106 771687 808434 943173 955422 1114659 1167738 1212651 1362361 1433133 1543374 1751607 1886346 2229318 2425302 2724722 2829519 2866266 3343977 3503214 4087083 5254821 5659038 6687954 8174166 8488557 10031931 10509642 12261249 15764463 16977114 20063862 24522498 31528926 36783747 73567494 110351241 220702482