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210192112 = 241373109127
BaseRepresentation
bin11001000011101…
…00011011110000
3112122111212101001
430201310123300
5412302121422
632505051344
75131413664
oct1441643360
9478455331
10210192112
11a8714499
125a486b54
1334715440
141dcb68a4
15136be227
hexc8746f0

210192112 has 80 divisors (see below), whose sum is σ = 452193280. Its totient is φ = 94058496.

The previous prime is 210192083. The next prime is 210192119. The reversal of 210192112 is 211291012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 210192112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210192119) by changing a digit.

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, 1654993 + ... + 1655119.

It is an arithmetic number, because the mean of its divisors is an integer number (5652416).

Almost surely, 2210192112 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 210192112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226096640).

210192112 is an abundant number, since it is smaller than the sum of its proper divisors (242001168).

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

210192112 is a wasteful number, since it uses less digits than its factorization.

210192112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 210192112 is about 14498.0037246512. The cubic root of 210192112 is about 594.5733938003.

The spelling of 210192112 in words is "two hundred ten million, one hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 109 127 146 208 218 254 292 436 508 584 872 949 1016 1168 1417 1651 1744 1898 2032 2834 3302 3796 5668 6604 7592 7957 9271 11336 13208 13843 15184 15914 18542 22672 26416 27686 31828 37084 55372 63656 74168 103441 110744 120523 127312 148336 179959 206882 221488 241046 359918 413764 482092 719836 827528 964184 1010539 1439672 1655056 1928368 2021078 2879344 4042156 8084312 13137007 16168624 26274014 52548028 105096056 210192112