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109297216 = 26717113127
BaseRepresentation
bin1101000001110…
…11111001000000
321121122212121001
412200323321000
5210440002331
614502341344
72465003530
oct640737100
9247585531
10109297216
1156771686
123072a854
131984a512
14107314c0
1598de561
hex683be40

109297216 has 112 divisors (see below), whose sum is σ = 266858496. Its totient is φ = 43352064.

The previous prime is 109297213. The next prime is 109297241. The reversal of 109297216 is 612792901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109297213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860545 + ... + 860671.

Almost surely, 2109297216 is an apocalyptic number.

109297216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

109297216 is an abundant number, since it is smaller than the sum of its proper divisors (157561280).

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

109297216 is a wasteful number, since it uses less digits than its factorization.

109297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 109297216 is about 10454.5308837843. The cubic root of 109297216 is about 478.1194008543.

It can be divided in two parts, 10929 and 7216, that added together give a triangular number (18145 = T190).

The spelling of 109297216 in words is "one hundred nine million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 113 119 127 136 224 226 238 254 272 448 452 476 508 544 791 889 904 952 1016 1088 1582 1778 1808 1904 1921 2032 2159 3164 3556 3616 3808 3842 4064 4318 6328 7112 7232 7616 7684 8128 8636 12656 13447 14224 14351 15113 15368 17272 25312 26894 28448 28702 30226 30736 34544 50624 53788 56896 57404 60452 61472 69088 100457 107576 114808 120904 122944 138176 200914 215152 229616 241808 243967 401828 430304 459232 483616 487934 803656 860608 918464 967232 975868 1607312 1707769 1951736 3214624 3415538 3903472 6429248 6831076 7806944 13662152 15613888 27324304 54648608 109297216