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97220214 = 232721361139
BaseRepresentation
bin1011100101101…
…11011001110110
320202221022001200
411302313121312
5144342021324
613351433330
72260233600
oct562673166
9222838050
1097220214
114a972a93
1228685846
13171ac470
14ccaa170
158805ec9
hex5cb7676

97220214 has 144 divisors (see below), whose sum is σ = 270138960. Its totient is φ = 25038720.

The previous prime is 97220213. The next prime is 97220231. The reversal of 97220214 is 41202279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 699357 + ... + 699495.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 297220214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97220214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

97220214 is an abundant number, since it is smaller than the sum of its proper divisors (172918746).

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

97220214 is a wasteful number, since it uses less digits than its factorization.

97220214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

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

The square root of 97220214 is about 9860.0311358535. The cubic root of 97220214 is about 459.8175300230.

The spelling of 97220214 in words is "ninety-seven million, two hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 61 63 78 91 98 117 122 126 139 147 182 183 234 273 278 294 366 417 427 441 546 549 637 793 819 834 854 882 973 1098 1251 1274 1281 1586 1638 1807 1911 1946 2379 2502 2562 2919 2989 3614 3822 3843 4758 5421 5551 5733 5838 5978 6811 7137 7686 8479 8757 8967 10842 11102 11466 12649 13622 14274 16263 16653 16958 17514 17934 20433 25298 25437 26901 32526 33306 37947 38857 40866 49959 50874 53802 59353 61299 75894 76311 77714 88543 99918 110227 113841 116571 118706 122598 152622 177086 178059 220454 227682 233142 265629 330681 349713 356118 415471 531258 534177 661362 699426 771589 796887 830942 992043 1068354 1246413 1543178 1593774 1984086 2314767 2492826 3739239 4629534 5401123 6944301 7478478 10802246 13888602 16203369 32406738 48610107 97220214