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109224192 = 2837111847
BaseRepresentation
bin1101000001010…
…10000100000000
321121112011102110
412200222010000
5210430133232
614501015320
72464250610
oct640520400
9247464373
10109224192
1156721830
12306b4540
13198231cc
1410712a40
1598c7acc
hex682a100

109224192 has 144 divisors (see below), whose sum is σ = 362621952. Its totient is φ = 28354560.

The previous prime is 109224173. The next prime is 109224197. The reversal of 109224192 is 291422901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (109224197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58213 + ... + 60059.

It is an arithmetic number, because the mean of its divisors is an integer number (2518208).

Almost surely, 2109224192 is an apocalyptic number.

109224192 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 109224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181310976).

109224192 is an abundant number, since it is smaller than the sum of its proper divisors (253397760).

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

109224192 is a wasteful number, since it uses less digits than its factorization.

109224192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 109224192 is about 10451.0378432001. The cubic root of 109224192 is about 478.0128962517.

The spelling of 109224192 in words is "one hundred nine million, two hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1847 1848 2112 2464 2688 2816 3694 3696 4224 4928 5376 5541 7388 7392 8448 9856 11082 12929 14776 14784 19712 20317 22164 25858 29552 29568 38787 40634 44328 51716 59104 59136 60951 77574 81268 88656 103432 118208 121902 142219 155148 162536 177312 206864 236416 243804 284438 310296 325072 354624 413728 426657 472832 487608 568876 620592 650144 709248 827456 853314 975216 1137752 1241184 1300288 1418496 1654912 1706628 1950432 2275504 2482368 2600576 3309824 3413256 3900864 4551008 4964736 5201152 6826512 7801728 9102016 9929472 13653024 15603456 18204032 27306048 36408064 54612096 109224192