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97219116 = 2234614919
BaseRepresentation
bin1011100101101…
…11001000101100
320202221020120000
411302313020230
5144342002431
613351424300
72260230441
oct562671054
9222836500
1097219116
114a972185
1228685090
13171abb07
14cca99c8
1588059e6
hex5cb722c

97219116 has 60 divisors (see below), whose sum is σ = 258368880. Its totient is φ = 31868640.

The previous prime is 97219103. The next prime is 97219117. The reversal of 97219116 is 61191279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97219117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17305 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (4306148).

Almost surely, 297219116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97219116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129184440).

97219116 is an abundant number, since it is smaller than the sum of its proper divisors (161149764).

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

97219116 is a wasteful number, since it uses less digits than its factorization.

97219116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4985 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 97219116 is about 9859.9754563589. The cubic root of 97219116 is about 459.8157989647.

The spelling of 97219116 in words is "ninety-seven million, two hundred nineteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4919 4941 6588 9838 9882 14757 19676 19764 29514 44271 59028 88542 132813 177084 265626 300059 398439 531252 600118 796878 900177 1200236 1593756 1800354 2700531 3600708 5401062 8101593 10802124 16203186 24304779 32406372 48609558 97219116