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200109384 = 233223149811
BaseRepresentation
bin10111110110101…
…10110101001000
3111221112121110200
423323112311020
5402212000014
631505012200
74646621166
oct1373266510
9457477420
10200109384
11a2a58162
1257024060
13325c5027
141c810236
151287ba09
hexbed6d48

200109384 has 96 divisors (see below), whose sum is σ = 570024000. Its totient is φ = 63296640.

The previous prime is 200109359. The next prime is 200109389. The reversal of 200109384 is 483901002.

It is not an unprimeable number, because it can be changed into a prime (200109389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246339 + ... + 247149.

It is an arithmetic number, because the mean of its divisors is an integer number (5937750).

Almost surely, 2200109384 is an apocalyptic number.

200109384 is a gapful number since it is divisible by the number (24) 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 200109384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285012000).

200109384 is an abundant number, since it is smaller than the sum of its proper divisors (369914616).

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

200109384 is a wasteful number, since it uses less digits than its factorization.

200109384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 200109384 is about 14146.0024035061. The cubic root of 200109384 is about 584.9101417975.

The spelling of 200109384 in words is "two hundred million, one hundred nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 552 596 811 828 894 1192 1341 1622 1656 1788 2433 2682 3244 3427 3576 4866 5364 6488 6854 7299 9732 10281 10728 13708 14598 18653 19464 20562 27416 29196 30843 37306 41124 55959 58392 61686 74612 82248 111918 120839 123372 149224 167877 223836 241678 246744 335754 362517 447672 483356 671508 725034 966712 1087551 1343016 1450068 2175102 2779297 2900136 4350204 5558594 8337891 8700408 11117188 16675782 22234376 25013673 33351564 50027346 66703128 100054692 200109384