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218197530 = 233531131199
BaseRepresentation
bin11010000000101…
…10111000011010
3120012120120202000
431000112320122
5421324310110
633352421430
75256435255
oct1500267032
9505516660
10218197530
11102192041
12610a7876
1336289185
1420d9c09c
15142511c0
hexd016e1a

218197530 has 128 divisors (see below), whose sum is σ = 608256000. Its totient is φ = 55598400.

The previous prime is 218197519. The next prime is 218197541. The reversal of 218197530 is 35791812.

It is an interprime number because it is at equal distance from previous prime (218197519) and next prime (218197541).

It is a super-2 number, since 2×2181975302 = 95220324196201800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096371 + ... + 1096569.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2218197530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218197530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304128000).

218197530 is an abundant number, since it is smaller than the sum of its proper divisors (390058470).

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

218197530 is a wasteful number, since it uses less digits than its factorization.

218197530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 218197530 is about 14771.5107555050. The cubic root of 218197530 is about 602.0278883928.

The spelling of 218197530 in words is "two hundred eighteen million, one hundred ninety-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 131 135 155 186 199 262 270 279 310 393 398 465 558 597 655 786 837 930 995 1179 1194 1310 1395 1674 1791 1965 1990 2358 2790 2985 3537 3582 3930 4061 4185 5373 5895 5970 6169 7074 8122 8370 8955 10746 11790 12183 12338 17685 17910 18507 20305 24366 26069 26865 30845 35370 36549 37014 40610 52138 53730 55521 60915 61690 73098 78207 92535 109647 111042 121830 130345 156414 166563 182745 185070 219294 234621 260690 277605 333126 365490 391035 469242 548235 555210 703863 782070 808139 832815 1096470 1173105 1407726 1616278 1665630 2346210 2424417 3519315 4040695 4848834 7038630 7273251 8081390 12122085 14546502 21819753 24244170 36366255 43639506 72732510 109098765 218197530