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198844096 = 261141832
BaseRepresentation
bin10111101101000…
…01111011000000
3111212011022211011
423312201323000
5401401002341
631421530304
74633101253
oct1366417300
9455138734
10198844096
11a2273570
1256713994
1332271139
141c5a109a
15126cbb81
hexbda1ec0

198844096 has 84 divisors (see below), whose sum is σ = 446327784. Its totient is φ = 87116800.

The previous prime is 198844057. The next prime is 198844099. The reversal of 198844096 is 690448891.

198844096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (198844099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2395671 + ... + 2395753.

It is an arithmetic number, because the mean of its divisors is an integer number (5313426).

Almost surely, 2198844096 is an apocalyptic number.

198844096 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 198844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223163892).

198844096 is an abundant number, since it is smaller than the sum of its proper divisors (247483688).

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

198844096 is an equidigital number, since it uses as much as digits as its factorization.

198844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 198844096 is about 14101.2090261793. The cubic root of 198844096 is about 583.6747422572.

The spelling of 198844096 in words is "one hundred ninety-eight million, eight hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 83 88 164 166 176 328 332 352 451 656 664 704 902 913 1312 1328 1804 1826 2624 2656 3403 3608 3652 5312 6806 6889 7216 7304 13612 13778 14432 14608 27224 27556 28864 29216 37433 54448 55112 58432 74866 75779 108896 110224 149732 151558 217792 220448 282449 299464 303116 440896 564898 598928 606232 1129796 1197856 1212464 2259592 2395712 2424928 3106939 4519184 4849856 6213878 9038368 12427756 18076736 24855512 49711024 99422048 198844096