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97216686 = 2347237331
BaseRepresentation
bin1011100101101…
…10100010101110
320202221010020000
411302312202232
5144341413221
613351405130
72260220400
oct562664256
9222833200
1097216686
114a970376
12286837a6
13171aa988
14cca8b70
158804e26
hex5cb68ae

97216686 has 120 divisors (see below), whose sum is σ = 261037656. Its totient is φ = 26943840.

The previous prime is 97216667. The next prime is 97216697. The reversal of 97216686 is 68661279.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 293541 + ... + 293871.

Almost surely, 297216686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97216686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130518828).

97216686 is an abundant number, since it is smaller than the sum of its proper divisors (163820970).

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

97216686 is a wasteful number, since it uses less digits than its factorization.

97216686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 97216686 is about 9859.8522301300. The cubic root of 97216686 is about 459.8119678879.

The spelling of 97216686 in words is "ninety-seven million, two hundred sixteen thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 49 54 63 74 81 98 111 126 147 162 189 222 259 294 331 333 378 441 518 567 662 666 777 882 993 999 1134 1323 1554 1813 1986 1998 2317 2331 2646 2979 2997 3626 3969 4634 4662 5439 5958 5994 6951 6993 7938 8937 10878 12247 13902 13986 16219 16317 17874 20853 20979 24494 26811 32438 32634 36741 41706 41958 48657 48951 53622 62559 73482 85729 97314 97902 110223 125118 145971 146853 171458 187677 220446 257187 291942 293706 330669 375354 437913 514374 600103 661338 771561 875826 992007 1200206 1313739 1543122 1800309 1984014 2314683 2627478 3600618 4629366 5400927 6944049 10801854 13888098 16202781 32405562 48608343 97216686