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38225088 = 2633112011
BaseRepresentation
bin1001000111010…
…0010011000000
32122221000222000
42101310103000
534241200323
63443144000
7642623256
oct221642300
978830860
1038225088
111a639090
1210975000
137bc49c5
1451105d6
153550e43
hex24744c0

38225088 has 112 divisors (see below), whose sum is σ = 122651520. Its totient is φ = 11577600.

The previous prime is 38225087. The next prime is 38225111. The reversal of 38225088 is 88052283.

It is a super-2 number, since 2×382250882 = 2922314705215488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38225087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18003 + ... + 20013.

Almost surely, 238225088 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 38225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61325760).

38225088 is an abundant number, since it is smaller than the sum of its proper divisors (84426432).

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

38225088 is a wasteful number, since it uses less digits than its factorization.

38225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38225088 is about 6182.6440945602. The cubic root of 38225088 is about 336.8600416162.

The spelling of 38225088 in words is "thirty-eight million, two hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2011 2112 2376 3168 4022 4752 6033 6336 8044 9504 12066 16088 18099 19008 22121 24132 32176 36198 44242 48264 54297 64352 66363 72396 88484 96528 108594 128704 132726 144792 176968 193056 199089 217188 265452 289584 353936 386112 398178 434376 530904 579168 597267 707872 796356 868752 1061808 1158336 1194534 1415744 1592712 1737504 2123616 2389068 3185424 3475008 4247232 4778136 6370848 9556272 12741696 19112544 38225088