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109892216 = 23717891297
BaseRepresentation
bin1101000110011…
…01001001111000
321122210002210002
412203031021320
5211113022331
614523212132
72503032320
oct643151170
9248702702
10109892216
1157038715
1230977048
13199c82a5
1410848280
1599aa9cb
hex68cd278

109892216 has 64 divisors (see below), whose sum is σ = 252331200. Its totient is φ = 43794432.

The previous prime is 109892207. The next prime is 109892227. The reversal of 109892216 is 612298901.

It is a self number, because there is not a number n which added to its sum of digits gives 109892216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84080 + ... + 85376.

It is an arithmetic number, because the mean of its divisors is an integer number (3942675).

Almost surely, 2109892216 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 109892216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126165600).

109892216 is an abundant number, since it is smaller than the sum of its proper divisors (142438984).

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

109892216 is a wasteful number, since it uses less digits than its factorization.

109892216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 109892216 is about 10482.9488217772. The cubic root of 109892216 is about 478.9854380796.

The spelling of 109892216 in words is "one hundred nine million, eight hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 89 119 136 178 238 356 476 623 712 952 1246 1297 1513 2492 2594 3026 4984 5188 6052 9079 10376 10591 12104 18158 21182 22049 36316 42364 44098 72632 84728 88196 115433 154343 176392 230866 308686 461732 617372 808031 923464 1234744 1616062 1962361 3232124 3924722 6464248 7849444 13736527 15698888 27473054 54946108 109892216