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2238454638 = 232719372683
BaseRepresentation
bin1000010101101100…
…0001101101101110
312210000001021111100
42011123001231232
514041021022023
61010041503530
7106320356550
oct20533015556
95700037440
102238454638
11a49605112
125257a1ba6
132989a6994
1417340b4d0
15d17b5c43
hex856c1b6e

2238454638 has 144 divisors (see below), whose sum is σ = 6005301120. Its totient is φ = 588658752.

The previous prime is 2238454627. The next prime is 2238454663. The reversal of 2238454638 is 8364548322.

2238454638 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 4 + 5 + 4 + 638 = 666.

2238454638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22384546382 = 10021358332767422088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2238454593 and 2238454602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3277045 + ... + 3277727.

It is an arithmetic number, because the mean of its divisors is an integer number (41703480).

Almost surely, 22238454638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238454638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002650560).

2238454638 is an abundant number, since it is smaller than the sum of its proper divisors (3766846482).

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

2238454638 is a wasteful number, since it uses less digits than its factorization.

2238454638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 751 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2238454638 is about 47312.3095821796. The cubic root of 2238454638 is about 1308.1255630940.

The spelling of 2238454638 in words is "two billion, two hundred thirty-eight million, four hundred fifty-four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 683 703 777 798 1197 1366 1369 1406 1554 2049 2109 2331 2394 2738 4098 4107 4218 4662 4781 4921 6147 6327 8214 9562 9583 9842 12294 12321 12654 12977 14343 14763 19166 24642 25271 25954 26011 28686 28749 29526 38931 43029 44289 50542 52022 57498 75813 77862 78033 86058 86247 88578 90839 116793 151626 156066 172494 176897 181678 182077 227439 233586 234099 272517 353794 364154 454878 468198 480149 530691 545034 546231 817551 935027 960298 1061382 1092462 1440447 1592073 1635102 1638693 1870054 2805081 2880894 3184146 3277386 3361043 4321341 5610162 6545189 6722086 8415243 8642682 10083129 13090378 16830486 17765513 19635567 20166258 30249387 35531026 39271134 53296539 58906701 60498774 106593078 117813402 124358591 159889617 248717182 319779234 373075773 746151546 1119227319 2238454638