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217321830 = 232511219517
BaseRepresentation
bin11001111010000…
…01000101100110
3120010221002111200
430331001011212
5421113244310
633321543330
75246130225
oct1475010546
9503832450
10217321830
11101744120
1260944b46
13360406cb
1420c10cbc
151412b9c0
hexcf41166

217321830 has 48 divisors (see below), whose sum is σ = 616406544. Its totient is φ = 52683840.

The previous prime is 217321787. The next prime is 217321849. The reversal of 217321830 is 38123712.

It is a junction number, because it is equal to n+sod(n) for n = 217321794 and 217321803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108769 + ... + 110748.

It is an arithmetic number, because the mean of its divisors is an integer number (12841803).

Almost surely, 2217321830 is an apocalyptic number.

217321830 is an abundant number, since it is smaller than the sum of its proper divisors (399084714).

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

217321830 is a wasteful number, since it uses less digits than its factorization.

217321830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219541 (or 219538 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217321830 is about 14741.8394374651. The cubic root of 217321830 is about 601.2214285001.

The spelling of 217321830 in words is "two hundred seventeen million, three hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 219517 439034 658551 1097585 1317102 1975653 2195170 2414687 3292755 3951306 4829374 6585510 7244061 9878265 12073435 14488122 19756530 21732183 24146870 36220305 43464366 72440610 108660915 217321830