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109228416 = 27311191361
BaseRepresentation
bin1101000001010…
…11000110000000
321121112101012220
412200223012000
5210430302131
614501051040
72464266123
oct640530600
9247471186
10109228416
1156724a20
12306b6a80
13198250cb
14107143ba
1598c8e96
hex682b180

109228416 has 128 divisors (see below), whose sum is σ = 333417600. Its totient is φ = 31334400.

The previous prime is 109228393. The next prime is 109228421. The reversal of 109228416 is 614822901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79576 + ... + 80936.

It is an arithmetic number, because the mean of its divisors is an integer number (2604825).

Almost surely, 2109228416 is an apocalyptic number.

109228416 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 109228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166708800).

109228416 is an abundant number, since it is smaller than the sum of its proper divisors (224189184).

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

109228416 is a wasteful number, since it uses less digits than its factorization.

109228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 109228416 is about 10451.2399264394. The cubic root of 109228416 is about 478.0190581968.

The spelling of 109228416 in words is "one hundred nine million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1361 1408 1672 1824 2112 2432 2508 2722 3344 3648 4083 4224 5016 5444 6688 7296 8166 10032 10888 13376 14971 16332 20064 21776 25859 26752 29942 32664 40128 43552 44913 51718 59884 65328 77577 80256 87104 89826 103436 119768 130656 155154 174208 179652 206872 239536 261312 284449 310308 359304 413744 479072 522624 568898 620616 718608 827488 853347 958144 1137796 1241232 1437216 1654976 1706694 1916288 2275592 2482464 2874432 3309952 3413388 4551184 4964928 5748864 6826776 9102368 9929856 13653552 18204736 27307104 36409472 54614208 109228416