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38214737220 = 223511227255071
BaseRepresentation
bin100011100101110001…
…101001110101000100
310122122020202210100210
4203211301221311010
51111230433042340
625320002235420
72521665623022
oct434561516504
9118566683323
1038214737220
111523024a760
1274a6055b70
1337b025235a
141bc744d712
15ed9de0180
hex8e5c69d44

38214737220 has 96 divisors (see below), whose sum is σ = 117243334656. Its totient is φ = 9223331200.

The previous prime is 38214737219. The next prime is 38214737227. The reversal of 38214737220 is 2273741283.

It is a super-2 number, since 2×382147372202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38214737227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22285 + ... + 277355.

It is an arithmetic number, because the mean of its divisors is an integer number (1221284736).

Almost surely, 238214737220 is an apocalyptic number.

38214737220 is a gapful number since it is divisible by the number (30) 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 38214737220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621667328).

38214737220 is an abundant number, since it is smaller than the sum of its proper divisors (79028597436).

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

38214737220 is a wasteful number, since it uses less digits than its factorization.

38214737220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255321 (or 255319 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 38214737220 in words is "thirty-eight billion, two hundred fourteen million, seven hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4540 4994 6810 7491 9988 12485 13620 14982 24970 29964 37455 49940 74910 149820 255071 510142 765213 1020284 1275355 1530426 2550710 2805781 3060852 3826065 5101420 5611562 7652130 8417343 11223124 14028905 15304260 16834686 28057810 33669372 42086715 56115620 57901117 84173430 115802234 168346860 173703351 231604468 289505585 347406702 579011170 636912287 694813404 868516755 1158022340 1273824574 1737033510 1910736861 2547649148 3184561435 3474067020 3821473722 6369122870 7642947444 9553684305 12738245740 19107368610 38214737220