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81275220 = 223251347739
BaseRepresentation
bin1001101100000…
…10100101010100
312122221012122100
410312002211110
5131301301340
612022002100
72004553665
oct466024524
9178835570
1081275220
1141972304
1223276330
1313ab8960
14ab1936c
157206830
hex4d82954

81275220 has 144 divisors (see below), whose sum is σ = 271514880. Its totient is φ = 19554048.

The previous prime is 81275219. The next prime is 81275231. The reversal of 81275220 is 2257218.

It is a super-2 number, since 2×812752202 = 13211322772096800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 109611 + ... + 110349.

It is an arithmetic number, because the mean of its divisors is an integer number (1885520).

Almost surely, 281275220 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 81275220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135757440).

81275220 is an abundant number, since it is smaller than the sum of its proper divisors (190239660).

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

81275220 is a wasteful number, since it uses less digits than its factorization.

81275220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 81275220 is about 9015.2770340129. The cubic root of 81275220 is about 433.1643614709.

The spelling of 81275220 in words is "eighty-one million, two hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 739 780 846 940 1170 1222 1410 1478 1692 1833 2115 2217 2340 2444 2820 2956 3055 3666 3695 4230 4434 5499 6110 6651 7332 7390 8460 8868 9165 9607 10998 11085 12220 13302 14780 18330 19214 21996 22170 26604 27495 28821 33255 34733 36660 38428 44340 48035 54990 57642 66510 69466 86463 96070 104199 109980 115284 133020 138932 144105 172926 173665 192140 208398 288210 312597 345852 347330 416796 432315 451529 520995 576420 625194 694660 864630 903058 1041990 1250388 1354587 1562985 1729260 1806116 2083980 2257645 2709174 3125970 4063761 4515290 5418348 6251940 6772935 8127522 9030580 13545870 16255044 20318805 27091740 40637610 81275220