Search a number
-
+
109298232 = 233212711953
BaseRepresentation
bin1101000001111…
…00001000111000
321121122220222200
412200330020320
5210440020412
614502350200
72465006511
oct640741070
9247586880
10109298232
115677241a
123072b360
131984ab14
1410731a08
1598de9dc
hex683c238

109298232 has 48 divisors (see below), whose sum is σ = 298371840. Its totient is φ = 36142848.

The previous prime is 109298213. The next prime is 109298237. The reversal of 109298232 is 232892901.

It is a super-2 number, since 2×1092982322 = 23892207036651648, which contains 22 as substring.

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 (109298237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3168 + ... + 15120.

It is an arithmetic number, because the mean of its divisors is an integer number (6216080).

Almost surely, 2109298232 is an apocalyptic number.

109298232 is a gapful number since it is divisible by the number (12) 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 109298232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149185920).

109298232 is an abundant number, since it is smaller than the sum of its proper divisors (189073608).

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

109298232 is a wasteful number, since it uses less digits than its factorization.

109298232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092 (or 12085 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109298232 is about 10454.5794750435. The cubic root of 109298232 is about 478.1208823431.

The spelling of 109298232 in words is "one hundred nine million, two hundred ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 11953 23906 35859 47812 71718 95624 107577 143436 215154 286872 430308 860616 1518031 3036062 4554093 6072124 9108186 12144248 13662279 18216372 27324558 36432744 54649116 109298232