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221340093 = 313293159107
BaseRepresentation
bin11010011000101…
…10000110111101
3120102111020112020
431030112012331
5423130340333
633544030353
75325234252
oct1514260675
9512436466
10221340093
11103a390a7
12621623b9
1336b19690
1421579429
15146723b3
hexd3161bd

221340093 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 123943680.

The previous prime is 221340079. The next prime is 221340127. The reversal of 221340093 is 390043122.

It is not a de Polignac number, because 221340093 - 26 = 221340029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221340043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2068546 + ... + 2068652.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2221340093 is an apocalyptic number.

It is an amenable number.

221340093 is a deficient number, since it is larger than the sum of its proper divisors (127024707).

221340093 is a wasteful number, since it uses less digits than its factorization.

221340093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 221340093 is about 14877.5029154761. The cubic root of 221340093 is about 604.9043338478.

The spelling of 221340093 in words is "two hundred twenty-one million, three hundred forty thousand, ninety-three".

Divisors: 1 3 13 29 31 39 59 87 93 107 177 321 377 403 767 899 1131 1209 1391 1711 1829 2301 2697 3103 3317 4173 5133 5487 6313 9309 9951 11687 18939 22243 23777 35061 40339 43121 53041 66729 71331 82069 96193 121017 129363 159123 183077 195703 246207 288579 549231 587109 689533 1250509 2068599 2380001 2544139 3751527 5675387 7140003 7632417 17026161 73780031 221340093