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38238228 = 22327253409
BaseRepresentation
bin1001000111011…
…1100000010100
32122221200222200
42101313200110
534242110403
63443324500
7643006500
oct221674024
978850880
1038238228
111a647a46
1210980730
137bca992
145115300
153554ca3
hex2477814

38238228 has 108 divisors (see below), whose sum is σ = 114840180. Its totient is φ = 10692864.

The previous prime is 38238209. The next prime is 38238229. The reversal of 38238228 is 82283283.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 6563844 = 5628^2 + 2562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38238192 and 38238201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38238229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93288 + ... + 93696.

It is an arithmetic number, because the mean of its divisors is an integer number (1063335).

Almost surely, 238238228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38238228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57420090).

38238228 is an abundant number, since it is smaller than the sum of its proper divisors (76601952).

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

38238228 is a wasteful number, since it uses less digits than its factorization.

38238228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38238228 is about 6183.7066553969. The cubic root of 38238228 is about 336.8986361107.

The spelling of 38238228 in words is "thirty-eight million, two hundred thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 409 441 477 588 636 742 818 882 954 1113 1227 1484 1636 1764 1908 2226 2454 2597 2863 3339 3681 4452 4908 5194 5726 6678 7362 7791 8589 10388 11452 13356 14724 15582 17178 20041 21677 23373 25767 31164 34356 40082 43354 46746 51534 60123 65031 80164 86708 93492 103068 120246 130062 151739 180369 195093 240492 260124 303478 360738 390186 455217 606956 721476 780372 910434 1062173 1365651 1820868 2124346 2731302 3186519 4248692 5462604 6373038 9559557 12746076 19119114 38238228