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221317730 = 2517233107
BaseRepresentation
bin11010011000100…
…00101001100010
3120102110002211222
431030100221202
5423124131410
633543335042
75325112124
oct1514205142
9512402758
10221317730
11103a23317
1262151482
1336b0c44a
1421571214
151466a955
hexd310a62

221317730 has 64 divisors (see below), whose sum is σ = 445098240. Its totient is φ = 78952192.

The previous prime is 221317729. The next prime is 221317739. The reversal of 221317730 is 37713122.

It is a super-2 number, since 2×2213177302 = 97963075224705800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221317730.

It is not an unprimeable number, because it can be changed into a prime (221317739) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2068337 + ... + 2068443.

It is an arithmetic number, because the mean of its divisors is an integer number (6954660).

Almost surely, 2221317730 is an apocalyptic number.

221317730 is an abundant number, since it is smaller than the sum of its proper divisors (223780510).

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

221317730 is a wasteful number, since it uses less digits than its factorization.

221317730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 221317730 is about 14876.7513254743. The cubic root of 221317730 is about 604.8839610796.

The spelling of 221317730 in words is "two hundred twenty-one million, three hundred seventeen thousand, seven hundred thirty".

Divisors: 1 2 5 10 17 23 34 46 85 107 115 170 214 230 391 529 535 782 1058 1070 1819 1955 2461 2645 3638 3910 4922 5290 8993 9095 12167 12305 17986 18190 24334 24610 41837 44965 56603 60835 83674 89930 113206 121670 206839 209185 283015 413678 418370 566030 962251 1034195 1301869 1924502 2068390 2603738 4811255 6509345 9622510 13018690 22131773 44263546 110658865 221317730