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38031512220 = 223251339740939
BaseRepresentation
bin100011011010110110…
…101101001010011100
310122011110222222220200
4203122312231022130
51110342031342340
625245455143500
72514312343242
oct433266551234
9118143888820
1038031512220
1115146885039
127454814b90
1337812bc5b0
141baad96792
15ec8c9b330
hex8dadad29c

38031512220 has 144 divisors (see below), whose sum is σ = 124552253280. Its totient is φ = 9337794048.

The previous prime is 38031512177. The next prime is 38031512231. The reversal of 38031512220 is 2221513083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908511 + ... + 949449.

Almost surely, 238031512220 is an apocalyptic number.

38031512220 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 38031512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62276126640).

38031512220 is an abundant number, since it is smaller than the sum of its proper divisors (86520741060).

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

38031512220 is a wasteful number, since it uses less digits than its factorization.

38031512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41364 (or 41359 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 38031512220 in words is "thirty-eight billion, thirty-one million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 397 468 585 780 794 1170 1191 1588 1985 2340 2382 3573 3970 4764 5161 5955 7146 7940 10322 11910 14292 15483 17865 20644 23820 25805 30966 35730 40939 46449 51610 61932 71460 77415 81878 92898 103220 122817 154830 163756 185796 204695 232245 245634 309660 368451 409390 464490 491268 532207 614085 736902 818780 928980 1064414 1228170 1473804 1596621 1842255 2128828 2456340 2661035 3193242 3684510 4789863 5322070 6386484 7369020 7983105 9579726 10644140 15966210 16252783 19159452 23949315 31932420 32505566 47898630 48758349 65011132 81263915 95797260 97516698 146275047 162527830 195033396 211286179 243791745 292550094 325055660 422572358 487583490 585100188 633858537 731375235 845144716 975166980 1056430895 1267717074 1462750470 1901575611 2112861790 2535434148 2925500940 3169292685 3803151222 4225723580 6338585370 7606302444 9507878055 12677170740 19015756110 38031512220